204122800 has 60 divisors (see below), whose sum is σ = 560470576. Its totient is φ = 69984000.

The previous prime is 204122797. The next prime is 204122843. The reversal of 204122800 is 8221402.

It is a super-2 number, since 2×204122800² = 83332234959680000, which contains 22 as substring.

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, 33651 + ... + 39250.

Almost surely, 2^204122800 is an apocalyptic number.

204122800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204122800 is an abundant number, since it is smaller than the sum of its proper divisors (356347776).

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

204122800 is a wasteful number, since it uses less digits than its factorization.

204122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72926 (or 72915 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 204122800 is about 14287.1550702020. The cubic root of 204122800 is about 588.7946280573.

It can be divided in two parts, 20412 and 2800, that multiplied together give a square (57153600 = 7560²).

The spelling of 204122800 in words is "two hundred four million, one hundred twenty-two thousand, eight hundred".