213303200 has 72 divisors (see below), whose sum is σ = 568088640. Its totient is φ = 77561600.

The previous prime is 213303179. The next prime is 213303221. The reversal of 213303200 is 2303312.

It is an interprime number because it is at equal distance from previous prime (213303179) and next prime (213303221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3320 + ... + 20919.

It is an arithmetic number, because the mean of its divisors is an integer number (7890120).

Almost surely, 2^213303200 is an apocalyptic number.

213303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213303200 is an abundant number, since it is smaller than the sum of its proper divisors (354785440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213303200 is a wasteful number, since it uses less digits than its factorization.

213303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24270 (or 24257 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 213303200 is about 14604.9032862255. The cubic root of 213303200 is about 597.4924982864.

Adding to 213303200 its reverse (2303312), we get a palindrome (215606512).

The spelling of 213303200 in words is "two hundred thirteen million, three hundred three thousand, two hundred".