204243200 has 216 divisors, whose sum is σ = 596128512. Its totient is φ = 67829760.

The previous prime is 204243199. The next prime is 204243227. The reversal of 204243200 is 2342402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2105552 + ... + 2105648.

Almost surely, 2^204243200 is an apocalyptic number.

204243200 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 204243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298064256).

204243200 is an abundant number, since it is smaller than the sum of its proper divisors (391885312).

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

204243200 is an equidigital number, since it uses as much as digits as its factorization.

204243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 204243200 is about 14291.3680240906. The cubic root of 204243200 is about 588.9103703779.

Adding to 204243200 its reverse (2342402), we get a palindrome (206585602).

The spelling of 204243200 in words is "two hundred four million, two hundred forty-three thousand, two hundred".