199925236900 has 81 divisors (see below), whose sum is σ = 441668998953. Its totient is φ = 78551798400.

The previous prime is 199925236871. The next prime is 199925236913. The reversal of 199925236900 is 9632529991.

The square root of 199925236900 is 447130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 121475949156 + 78449287744 = 348534^2 + 280088^2 .

It is a super-2 number, since 2×199925236900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272748934 + ... + 272749666.

Almost surely, 2^199925236900 is an apocalyptic number.

199925236900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199925236900 is the 447130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199925236900

199925236900 is an abundant number, since it is smaller than the sum of its proper divisors (241743762053).

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

199925236900 is an frugal number, since it uses more digits than its factorization.

199925236900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 55.

The spelling of 199925236900 in words is "one hundred ninety-nine billion, nine hundred twenty-five million, two hundred thirty-six thousand, nine hundred".