204151200 has 432 divisors, whose sum is σ = 789636960. Its totient is φ = 45619200.

The previous prime is 204151183. The next prime is 204151217. The reversal of 204151200 is 2151402.

204151200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204151183) and next prime (204151217).

It is a super-2 number, since 2×204151200² = 83355424922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204151200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5517582 + ... + 5517618.

Almost surely, 2^204151200 is an apocalyptic number.

204151200 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 204151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394818480).

204151200 is an abundant number, since it is smaller than the sum of its proper divisors (585485760).

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

204151200 is a wasteful number, since it uses less digits than its factorization.

204151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 204151200 is about 14288.1489353940. The cubic root of 204151200 is about 588.8219335028.

The spelling of 204151200 in words is "two hundred four million, one hundred fifty-one thousand, two hundred".