233875824 has 120 divisors (see below), whose sum is σ = 756982800. Its totient is φ = 61673472.

The previous prime is 233875819. The next prime is 233875841. The reversal of 233875824 is 428578332.

233875824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26752 + ... + 34400.

It is an arithmetic number, because the mean of its divisors is an integer number (6308190).

Almost surely, 2^233875824 is an apocalyptic number.

233875824 is a gapful number since it is divisible by the number (24) 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 233875824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378491400).

233875824 is an abundant number, since it is smaller than the sum of its proper divisors (523106976).

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

233875824 is a wasteful number, since it uses less digits than its factorization.

233875824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7674 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 233875824 is about 15292.9991826326. Note that the first 3 decimals coincide. The cubic root of 233875824 is about 616.1149923065.

The spelling of 233875824 in words is "two hundred thirty-three million, eight hundred seventy-five thousand, eight hundred twenty-four".