213332200 has 96 divisors (see below), whose sum is σ = 512244000. Its totient is φ = 82592000.

The previous prime is 213332191. The next prime is 213332227. The reversal of 213332200 is 2233312.

213332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191711 + ... + 1191889.

It is an arithmetic number, because the mean of its divisors is an integer number (5335875).

Almost surely, 2^213332200 is an apocalyptic number.

213332200 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 213332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256122000).

213332200 is an abundant number, since it is smaller than the sum of its proper divisors (298911800).

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

213332200 is a wasteful number, since it uses less digits than its factorization.

213332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

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

The square root of 213332200 is about 14605.8960697384. The cubic root of 213332200 is about 597.5195747630.

Adding to 213332200 its reverse (2233312), we get a palindrome (215565512).

The spelling of 213332200 in words is "two hundred thirteen million, three hundred thirty-two thousand, two hundred".