233213200 has 60 divisors (see below), whose sum is σ = 611242128. Its totient is φ = 84803200.

The previous prime is 233213159. The next prime is 233213237. The reversal of 233213200 is 2312332.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22102 + ... + 30901.

Almost surely, 2^233213200 is an apocalyptic number.

233213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233213200 is an abundant number, since it is smaller than the sum of its proper divisors (378028928).

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

233213200 is a wasteful number, since it uses less digits than its factorization.

233213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53032 (or 53021 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 233213200 is about 15271.3195238656. The cubic root of 233213200 is about 615.5325767615.

Adding to 233213200 its reverse (2312332), we get a palindrome (235525532).

The spelling of 233213200 in words is "two hundred thirty-three million, two hundred thirteen thousand, two hundred".