204533200 has 30 divisors (see below), whose sum is σ = 491391974. Its totient is φ = 81813120.

The previous prime is 204533149. The next prime is 204533207. The reversal of 204533200 is 2335402.

204533200 is digitally balanced in base 3, 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 1527696 + 203005504 = 1236^2 + 14248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204533207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255267 + ... + 256066.

Almost surely, 2^204533200 is an apocalyptic number.

204533200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204533200 is an abundant number, since it is smaller than the sum of its proper divisors (286858774).

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

204533200 is a wasteful number, since it uses less digits than its factorization.

204533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511351 (or 511340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 204533200 is about 14301.5104097434. The cubic root of 204533200 is about 589.1889651127.

Adding to 204533200 its reverse (2335402), we get a palindrome (206868602).

It can be divided in two parts, 20453 and 3200, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 204533200 in words is "two hundred four million, five hundred thirty-three thousand, two hundred".