199292256 has 72 divisors (see below), whose sum is σ = 570987144. Its totient is φ = 65932800.

The previous prime is 199292251. The next prime is 199292281. The reversal of 199292256 is 652292991.

199292256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199292251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36931 + ... + 41981.

It is an arithmetic number, because the mean of its divisors is an integer number (7930377).

Almost surely, 2^199292256 is an apocalyptic number.

199292256 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 199292256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285493572).

199292256 is an abundant number, since it is smaller than the sum of its proper divisors (371694888).

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

199292256 is a wasteful number, since it uses less digits than its factorization.

199292256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5193 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 199292256 is about 14117.0909184577. The cubic root of 199292256 is about 584.1129136774.

The spelling of 199292256 in words is "one hundred ninety-nine million, two hundred ninety-two thousand, two hundred fifty-six".