204933144 has 64 divisors (see below), whose sum is σ = 553119840. Its totient is φ = 62899200.

The previous prime is 204933133. The next prime is 204933163. The reversal of 204933144 is 441339402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218244 + ... + 219180.

Almost surely, 2^204933144 is an apocalyptic number.

204933144 is a gapful number since it is divisible by the number (24) 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 204933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276559920).

204933144 is an abundant number, since it is smaller than the sum of its proper divisors (348186696).

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

204933144 is a wasteful number, since it uses less digits than its factorization.

204933144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 204933144 is about 14315.4861600995. The cubic root of 204933144 is about 589.5727482285.

The spelling of 204933144 in words is "two hundred four million, nine hundred thirty-three thousand, one hundred forty-four".