213942800 has 30 divisors (see below), whose sum is σ = 513998538. Its totient is φ = 85576960.

The previous prime is 213942767. The next prime is 213942829. The reversal of 213942800 is 8249312.

213942800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 38539264 + 175403536 = 6208^2 + 13244^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267029 + ... + 267828.

Almost surely, 2^213942800 is an apocalyptic number.

213942800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213942800 is an abundant number, since it is smaller than the sum of its proper divisors (300055738).

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

213942800 is a wasteful number, since it uses less digits than its factorization.

213942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534875 (or 534864 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 213942800 is about 14626.7836519175. The cubic root of 213942800 is about 598.0891057848.

The spelling of 213942800 in words is "two hundred thirteen million, nine hundred forty-two thousand, eight hundred".