RU-ALLRUSSIAN 2017

In the $200\times 200$ table in some cells lays red or blue chip. Every chip "see" other chip, if they lay in same row or column. Every chip "see" exactly $5$ chips of other color. Find maximum number of chips in the table.

There is number $N$ on the board. Every minute Ivan makes next operation: takes any number $a$ written on the board, erases it, then writes all divisors of $a$ except $a$ ( Can be same numbers on the board). After some time on the board there are $N^2$ numbers. For which $N$ is it possible?