213328200 has 96 divisors (see below), whose sum is σ = 696160800. Its totient is φ = 53890560.

The previous prime is 213328153. The next prime is 213328231. The reversal of 213328200 is 2823312.

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, 2044 + ... + 20756.

It is an arithmetic number, because the mean of its divisors is an integer number (7251675).

Almost surely, 2^213328200 is an apocalyptic number.

213328200 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 213328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348080400).

213328200 is an abundant number, since it is smaller than the sum of its proper divisors (482832600).

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

213328200 is a wasteful number, since it uses less digits than its factorization.

213328200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18751 (or 18742 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 213328200 is about 14605.7591380934. The cubic root of 213328200 is about 597.5158402224.

The spelling of 213328200 in words is "two hundred thirteen million, three hundred twenty-eight thousand, two hundred".