233872056 has 128 divisors (see below), whose sum is σ = 713318400. Its totient is φ = 70410240.

The previous prime is 233872021. The next prime is 233872057. The reversal of 233872056 is 650278332.

It is a super-2 number, since 2×233872056² = 109392277155334272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 233872056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233872057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610441 + ... + 610823.

It is an arithmetic number, because the mean of its divisors is an integer number (5572800).

Almost surely, 2^233872056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233872056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356659200).

233872056 is an abundant number, since it is smaller than the sum of its proper divisors (479446344).

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

233872056 is a wasteful number, since it uses less digits than its factorization.

233872056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 233872056 is about 15292.8759885118. The cubic root of 233872056 is about 616.1116835225. Note that the first 3 decimals are identical.

The spelling of 233872056 in words is "two hundred thirty-three million, eight hundred seventy-two thousand, fifty-six".