199656900 has 135 divisors (see below), whose sum is σ = 651357399. Its totient is φ = 52902720.

The previous prime is 199656887. The next prime is 199656913. The reversal of 199656900 is 9656991.

The square root of 199656900 is 14130.

It is a perfect power (a square), and thus also a powerful number.

199656900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199656887) and next prime (199656913).

It can be written as a sum of positive squares in 4 ways, for example, as 24147396 + 175509504 = 4914^2 + 13248^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×199656900² = 79725755435220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1271622 + ... + 1271778.

Almost surely, 2^199656900 is an apocalyptic number.

199656900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199656900 is the 14130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199656900

199656900 is an abundant number, since it is smaller than the sum of its proper divisors (451700499).

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

199656900 is a wasteful number, since it uses less digits than its factorization.

199656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The cubic root of 199656900 is about 584.4689460712.

The spelling of 199656900 in words is "one hundred ninety-nine million, six hundred fifty-six thousand, nine hundred".