I installed Android Studio 2.2.2 on my system. After when I openend one of the projects which have compileSdkVersion 23, got following error,
compileSdkVersion 23
You need add check in, open Settings -> Appearance & Behavior -> System Settings -> Android SDK -> SDK Tools -> Launch Standalone SDK Manager
FIRST SDKPlatform to 23
SECOND Tools to 23
and ever end sync up..