213893200 has 60 divisors (see below), whose sum is σ = 517709920. Its totient is φ = 84919680.

The previous prime is 213893179. The next prime is 213893227. The reversal of 213893200 is 2398312.

It is a congruent number.

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, 53677 + ... + 57523.

Almost surely, 2^213893200 is an apocalyptic number.

213893200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258854960).

213893200 is an abundant number, since it is smaller than the sum of its proper divisors (303816720).

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

213893200 is a wasteful number, since it uses less digits than its factorization.

213893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 213893200 is about 14625.0880339231. The cubic root of 213893200 is about 598.0428823512.

The spelling of 213893200 in words is "two hundred thirteen million, eight hundred ninety-three thousand, two hundred".