213033200 has 60 divisors (see below), whose sum is σ = 519516600. Its totient is φ = 83930880.

The previous prime is 213033181. The next prime is 213033241. The reversal of 213033200 is 2330312.

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, 22826 + ... + 30774.

It is an arithmetic number, because the mean of its divisors is an integer number (8658610).

Almost surely, 2^213033200 is an apocalyptic number.

213033200 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 213033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259758300).

213033200 is an abundant number, since it is smaller than the sum of its proper divisors (306483400).

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

213033200 is a wasteful number, since it uses less digits than its factorization.

213033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8023 counting only the distinct ones).

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

The square root of 213033200 is about 14595.6568882665. The cubic root of 213033200 is about 597.2402890835.

Adding to 213033200 its reverse (2330312), we get a palindrome (215363512).

The spelling of 213033200 in words is "two hundred thirteen million, thirty-three thousand, two hundred".