The remote that comes with a 222/222k will work on those recs.
It's a 21.0 remote which can be set between adress 1-25 I wanna say. If you want to program it to a 322,311,512 iam pretty sure they only accept a adress code between 1-15.
Any ways if you want to syc a 21.0 remote up with a 322 tv1...