204115700 has 36 divisors (see below), whose sum is σ = 445786572. Its totient is φ = 81120000.

The previous prime is 204115649. The next prime is 204115729. The reversal of 204115700 is 7511402.

204115700 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 6 ways, for example, as 62315236 + 141800464 = 7894^2 + 11908^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9200 + ... + 22200.

Almost surely, 2^204115700 is an apocalyptic number.

204115700 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 204115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222893286).

204115700 is an abundant number, since it is smaller than the sum of its proper divisors (241670872).

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

204115700 is a wasteful number, since it uses less digits than its factorization.

204115700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13172 (or 13165 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 204115700 is about 14286.9065931013. The cubic root of 204115700 is about 588.7878013002.

The spelling of 204115700 in words is "two hundred four million, one hundred fifteen thousand, seven hundred".