233375936 has 112 divisors (see below), whose sum is σ = 518891520. Its totient is φ = 103680000.

The previous prime is 233375929. The next prime is 233375939. The reversal of 233375936 is 639573332.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 233375893 and 233375902.

It is not an unprimeable number, because it can be changed into a prime (233375939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545461 + ... + 1545611.

It is an arithmetic number, because the mean of its divisors is an integer number (4632960).

Almost surely, 2^233375936 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 233375936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

233375936 is an abundant number, since it is smaller than the sum of its proper divisors (285515584).

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

233375936 is a wasteful number, since it uses less digits than its factorization.

233375936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 306180, while the sum is 41.

The square root of 233375936 is about 15276.6467524781. The cubic root of 233375936 is about 615.6757161994.

The spelling of 233375936 in words is "two hundred thirty-three million, three hundred seventy-five thousand, nine hundred thirty-six".