204229600 has 72 divisors (see below), whose sum is σ = 515826360. Its totient is φ = 78865920.

The previous prime is 204229591. The next prime is 204229637. The reversal of 204229600 is 6922402.

204229600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 18799 + ... + 27601.

It is an arithmetic number, because the mean of its divisors is an integer number (7164255).

Almost surely, 2^204229600 is an apocalyptic number.

204229600 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 204229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257913180).

204229600 is an abundant number, since it is smaller than the sum of its proper divisors (311596760).

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

204229600 is a wasteful number, since it uses less digits than its factorization.

204229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 204229600 is about 14290.8922044776. The cubic root of 204229600 is about 588.8972987737.

The spelling of 204229600 in words is "two hundred four million, two hundred twenty-nine thousand, six hundred".