233883040 has 24 divisors (see below), whose sum is σ = 552549060. Its totient is φ = 93553152.

The previous prime is 233882963. The next prime is 233883047. The reversal of 233883040 is 40388332.

It can be written as a sum of positive squares in 2 ways, for example, as 218921616 + 14961424 = 14796^2 + 3868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233882993 and 233883011.

It is not an unprimeable number, because it can be changed into a prime (233883047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 730725 + ... + 731044.

Almost surely, 2^233883040 is an apocalyptic number.

233883040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233883040 is an abundant number, since it is smaller than the sum of its proper divisors (318666020).

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

233883040 is a wasteful number, since it uses less digits than its factorization.

233883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461784 (or 1461776 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 233883040 is about 15293.2351057584. The cubic root of 233883040 is about 616.1213287745.

The spelling of 233883040 in words is "two hundred thirty-three million, eight hundred eighty-three thousand, forty".