Henry wrote some digits in the following sequence:  $$2$$，$$0$$，$$2$$，$$0$$，$$0$$，$$2$$，$$0$$，$$2$$，$$2$$，$$0$$，$$2$$，$$0$$，$$0$$，$$2$$，$$0$$，$$2$$，$$\cdots $$  If he wrote a total of $$535$$ digits, how many of digit $$2$$ did he write? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems