204196200 has 192 divisors, whose sum is σ = 697455360. Its totient is φ = 49105920.

The previous prime is 204196199. The next prime is 204196259. The reversal of 204196200 is 2691402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 366322 + ... + 366878.

It is an arithmetic number, because the mean of its divisors is an integer number (3632580).

Almost surely, 2^204196200 is an apocalyptic number.

204196200 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 204196200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

204196200 is an abundant number, since it is smaller than the sum of its proper divisors (493259160).

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

204196200 is a wasteful number, since it uses less digits than its factorization.

204196200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 204196200 is about 14289.7235802516. The cubic root of 204196200 is about 588.8651939888.

The spelling of 204196200 in words is "two hundred four million, one hundred ninety-six thousand, two hundred".