199933056 has 256 divisors, whose sum is σ = 647740800. Its totient is φ = 60456960.

The previous prime is 199933033. The next prime is 199933087. The reversal of 199933056 is 650339991.

199933056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408791 + ... + 2408873.

Almost surely, 2^199933056 is an apocalyptic number.

199933056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

199933056 is an abundant number, since it is smaller than the sum of its proper divisors (447807744).

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

199933056 is a wasteful number, since it uses less digits than its factorization.

199933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 199933056 is about 14139.7685978237. The cubic root of 199933056 is about 584.7382918801.

The spelling of 199933056 in words is "one hundred ninety-nine million, nine hundred thirty-three thousand, fifty-six".