205161200 has 30 divisors (see below), whose sum is σ = 492900744. Its totient is φ = 82064320.

The previous prime is 205161179. The next prime is 205161211. The reversal of 205161200 is 2161502.

It is a super-2 number, since 2×205161200² = 84182235970880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 256052 + ... + 256851.

Almost surely, 2^205161200 is an apocalyptic number.

205161200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205161200 is an abundant number, since it is smaller than the sum of its proper divisors (287739544).

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

205161200 is a wasteful number, since it uses less digits than its factorization.

205161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512921 (or 512910 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 205161200 is about 14323.4493052477. The cubic root of 205161200 is about 589.7913654734.

The spelling of 205161200 in words is "two hundred five million, one hundred sixty-one thousand, two hundred".