204200 has 24 divisors (see below), whose sum is σ = 475230. Its totient is φ = 81600.

The previous prime is 204173. The next prime is 204233. The reversal of 204200 is 2402.

204200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 158404 + 45796 = 398^2 + 214^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 204200.

It is an unprimeable number.

204200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311 + ... + 710.

2²⁰⁴²⁰⁰ is an apocalyptic number.

204200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204200 is an abundant number, since it is smaller than the sum of its proper divisors (271030).

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

204200 is a wasteful number, since it uses less digits than its factorization.

204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 204200 is about 451.8849411078. The cubic root of 204200 is about 58.8868846805.

Adding to 204200 its reverse (2402), we get a palindrome (206602).

It can be divided in two parts, 204 and 200, that added together give a palindrome (404).

The spelling of 204200 in words is "two hundred four thousand, two hundred", and thus it is an iban number.