Superscore in Admissions Process

June SAT scores in!

This was my second time taking the SAT, so I’ll just list my subscores from the two tests I’ve taken:
March 2015–CR 690, WR 740 (essay 8), M 800=2230
June 3015–CR 780, WR 690 (essay 9), M 730=2200
My superscore now is 2320, but I was wondering if this is the number that most colleges will consider in the application process or if they’ll look at the two test scores individually? I’ll be applying to Caltech, Stanford, Columbia, Berkeley, etc in the fall (about half of the colleges I’ll apply to will be top tens, the other half UCs and upper end west coast schools, and a couple of CSUs will also be included).
In your knowledge, though, is the superscore more commonly looked at at competitive schools than the separate scores by themselves?

Stanford does superscore but require all scores so send everything even if you took the ACT.
Columbia does superscore.
Cal tech does superscore not sure if you need to send all scores
Berkeley doesn’t superscore and they will look for highest seating which in this case will be 2230.

Look for the schools policy and you will see what they require to be sent. Good luck!