232233840 has 120 divisors (see below), whose sum is σ = 799042608. Its totient is φ = 60410880.

The previous prime is 232233839. The next prime is 232233847. The reversal of 232233840 is 48332232.

232233840 is a `hidden beast` number, since 2 + 322 + 338 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×232233840² = 107865112882291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232233847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25587 + ... + 33453.

Almost surely, 2^232233840 is an apocalyptic number.

232233840 is a gapful number since it is divisible by the number (20) 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 232233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399521304).

232233840 is an abundant number, since it is smaller than the sum of its proper divisors (566808768).

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

232233840 is a wasteful number, since it uses less digits than its factorization.

232233840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 232233840 is about 15239.2204525035. The cubic root of 232233840 is about 614.6697413801.

The spelling of 232233840 in words is "two hundred thirty-two million, two hundred thirty-three thousand, eight hundred forty".