204242200 has 48 divisors (see below), whose sum is σ = 479612160. Its totient is φ = 80880000.

The previous prime is 204242173. The next prime is 204242209. The reversal of 204242200 is 2242402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204242209) 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 11 ways as a sum of consecutive naturals, for example, 15145 + ... + 25255.

It is an arithmetic number, because the mean of its divisors is an integer number (9991920).

Almost surely, 2^204242200 is an apocalyptic number.

204242200 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 204242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239806080).

204242200 is an abundant number, since it is smaller than the sum of its proper divisors (275369960).

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

204242200 is a wasteful number, since it uses less digits than its factorization.

204242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 204242200 is about 14291.3330378940. Note that the first 3 decimals coincide. The cubic root of 204242200 is about 588.9094092503.

Adding to 204242200 its reverse (2242402), we get a palindrome (206484602).

The spelling of 204242200 in words is "two hundred four million, two hundred forty-two thousand, two hundred".