The industry standard for .22 suppressors...
...is a thread pitch of 1/2x28 here in the US. European (and solme older American) cans use a 1/2x20 pitch. So a suppressor that fits on a .223 muzzle will fit a .22LR like the SU-22. A word of warning however...many manufacturers will not warrant a .223 can for use on a .22LR gun because the lead bullets in most .22LR cartridges sublimate (read "shed"

particles of lead as they pass through the suppressor and the build up can actually reduce the diameter of the opening until a baffle strike occurs. I have an AAC 9mm can that can be used on a .223, but the warranty specifically calls out the .22LR as a 'no-no'.
Suppressors for .22LR guns can often be used on .223s, but the higher pressures and velocities of .223 loads can cause premature failure. The dedicated .22LR cans are usually made of lighter and less durable material because they don't need to be so robust as the .223 versions.
So, are they interchangeable? Yes...but not without risk.
Besides the threaded cans, twist on varieties can be used on threaded barrels with the simple installation of an adapter. Concentricity to the bore is critical here, but several manufacturers produce adapters that are more than adequate to the task.
My recommendation would be to buy something like the Gemtech Outback or YHM Mite which is specifically built fo rthe .22LR. But that is just my opinion; I could be wrong.