199815264 has 72 divisors (see below), whose sum is σ = 619891272. Its totient is φ = 60549120.

The previous prime is 199815257. The next prime is 199815277. The reversal of 199815264 is 462518991.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×199815264² = 79852279454779392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 28369 + ... + 34704.

It is an arithmetic number, because the mean of its divisors is an integer number (8609601).

Almost surely, 2^199815264 is an apocalyptic number.

It is an amenable number.

199815264 is an abundant number, since it is smaller than the sum of its proper divisors (420076008).

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

199815264 is a wasteful number, since it uses less digits than its factorization.

199815264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63100 (or 63089 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 199815264 is about 14135.6027108857. The cubic root of 199815264 is about 584.6234350621.

The spelling of 199815264 in words is "one hundred ninety-nine million, eight hundred fifteen thousand, two hundred sixty-four".