Google for "AMD Athlon(tm) II X2 250" you'll find out http://www.amd.com/en-us/products/processors/desktop/athlon-ii# which says:

Simultaneous 32-bit and 64-bit Computing

 

AMD64 technology enables a breakthrough approach to 64-bit computing that doubles the number of registers in the processor and allows PC users to use today’s 32-bit software applications while enabling them to also use the next generation of 64-bit applications.

So you can install a 64 bits Operating system, like an amd64 (or x86-64) flavor of Linux. And if you have -or may later have- more than 4Gbytes of RAM (which is likely) you'll better install a 64 bits variant (to enable some processes to have more than 4Gbytes of address spaces, to use almost all the RAM if needed)

^{You might keep a 32 bits OS if you have few RAM (4Gbytes or less), since 32 bits OS and applications are using slightly less memory than 64 bits ones; however they are then unable to process a lot of data, i.e. to have processes with more than 3Gbytes of address space).}

Google for "AMD Athlon(tm) II X2 250" you'll find out http://www.amd.com/en-us/products/processors/desktop/athlon-ii# which says:

Simultaneous 32-bit and 64-bit Computing

AMD64 technology enables a breakthrough approach to 64-bit computing that doubles the number of registers in the processor and allows PC users to use today’s 32-bit software applications while enabling them to also use the next generation of 64-bit applications.

So you can install a 64 bits Operating system, like an amd64 (or x86-64) flavor of Linux. And if you have -or may later have- more than 4Gbytes of RAM (which is likely) you'll better install a 64 bits variant (to enable some processes to have more than 4Gbytes of address spaces, to use almost all the RAM if needed)

^{You might keep a 32 bits OS if you have few RAM (4Gbytes or less), since 32 bits OS and applications are using slightly less memory than 64 bits ones; however they are then unable to process a lot of data, i.e. to have processes with more than 3Gbytes of address space).}

Google for "AMD Athlon(tm) II X2 250" you'll find out http://www.amd.com/en-us/products/processors/desktop/athlon-ii# which says:

Simultaneous 32-bit and 64-bit Computing

AMD64 technology enables a breakthrough approach to 64-bit computing that doubles the number of registers in the processor and allows PC users to use today’s 32-bit software applications while enabling them to also use the next generation of 64-bit applications.

So you can install a 64 bits Operating system, like an amd64 (or x86-64) flavor of Linux. And you have -or may later have- more than 4Gbytes of RAM (which is likely) you'll better install a 64 bits variant (to enable some processes to have more than 4Gbytes of address spaces, to use almost all the RAM if needed)

Google for "AMD Athlon(tm) II X2 250" you'll find out http://www.amd.com/en-us/products/processors/desktop/athlon-ii# which says:

Simultaneous 32-bit and 64-bit Computing

AMD64 technology enables a breakthrough approach to 64-bit computing that doubles the number of registers in the processor and allows PC users to use today’s 32-bit software applications while enabling them to also use the next generation of 64-bit applications.

So you can install a 64 bits Operating system, like an amd64 (or x86-64) flavor of Linux. And if you have -or may later have- more than 4Gbytes of RAM (which is likely) you'll better install a 64 bits variant (to enable some processes to have more than 4Gbytes of address spaces, to use almost all the RAM if needed)

^{You might keep a 32 bits OS if you have few RAM (4Gbytes or less), since 32 bits OS and applications are using slightly less memory than 64 bits ones; however they are then unable to process a lot of data, i.e. to have processes with more than 3Gbytes of address space).}