I think,that "整" always used to appear with "个". “整个”and"全" all likely mean "whole , all over..." .
Example:整个世界=全世界 ,整个学校=全校/全学校
整 is more to describe a whole situation,but not a single thing. may be like the following example.
"the whole body" will be said as 全身. No one would use "整身". When you just like to use 整 ,you have only to say it as “整个身体”.
meanwhile,整 can also be a verb -- 整理. Than it means to make something in order or clean.
Example: clean up the room = 整理房间
hope they will help you to understand these two single words.:D