204320200 has 72 divisors (see below), whose sum is σ = 552629250. Its totient is φ = 70049280.

The previous prime is 204320197. The next prime is 204320227. The reversal of 204320200 is 2023402.

204320200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 188622756 + 15697444 = 13734^2 + 3962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 625 + ... + 20224.

Almost surely, 2^204320200 is an apocalyptic number.

204320200 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 204320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276314625).

204320200 is an abundant number, since it is smaller than the sum of its proper divisors (348309050).

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

204320200 is a wasteful number, since it uses less digits than its factorization.

204320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20879 (or 20863 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 204320200 is about 14294.0617040784. The cubic root of 204320200 is about 588.9843677842.

Adding to 204320200 its reverse (2023402), we get a palindrome (206343602).

The spelling of 204320200 in words is "two hundred four million, three hundred twenty thousand, two hundred".