213533700 has 72 divisors (see below), whose sum is σ = 632230368. Its totient is φ = 55614720.

The previous prime is 213533693. The next prime is 213533701. The reversal of 213533700 is 7335312.

It is not an unprimeable number, because it can be changed into a prime (213533701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4624 + ... + 21176.

Almost surely, 2^213533700 is an apocalyptic number.

213533700 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 213533700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316115184).

213533700 is an abundant number, since it is smaller than the sum of its proper divisors (418696668).

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

213533700 is a wasteful number, since it uses less digits than its factorization.

213533700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16613 (or 16606 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 213533700 is about 14612.7923409593. The cubic root of 213533700 is about 597.7076418664.

The spelling of 213533700 in words is "two hundred thirteen million, five hundred thirty-three thousand, seven hundred".