204314200200 has 192 divisors, whose sum is σ = 767726308800. Its totient is φ = 49530700800.

The previous prime is 204314200193. The next prime is 204314200201. The reversal of 204314200200 is 2002413402.

204314200200 is a `hidden beast` number, since 2 + 0 + 43 + 1 + 420 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204314200201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1660417 + ... + 1779216.

It is an arithmetic number, because the mean of its divisors is an integer number (3998574525).

Almost surely, 2^204314200200 is an apocalyptic number.

204314200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204314200200 is an abundant number, since it is smaller than the sum of its proper divisors (563412108600).

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

204314200200 is a wasteful number, since it uses less digits than its factorization.

204314200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439669 (or 3439654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 204314200200 its reverse (2002413402), we get a palindrome (206316613602).

The spelling of 204314200200 in words is "two hundred four billion, three hundred fourteen million, two hundred thousand, two hundred".