233175040 has 96 divisors (see below), whose sum is σ = 639606240. Its totient is φ = 79921152.

The previous prime is 233174957. The next prime is 233175053. The reversal of 233175040 is 40571332.

233175040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233174996 and 233175014.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70054 + ... + 73306.

It is an arithmetic number, because the mean of its divisors is an integer number (6662565).

Almost surely, 2^233175040 is an apocalyptic number.

233175040 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 233175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319803120).

233175040 is an abundant number, since it is smaller than the sum of its proper divisors (406431200).

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

233175040 is an equidigital number, since it uses as much as digits as its factorization.

233175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 233175040 is about 15270.0700718759. The cubic root of 233175040 is about 615.4990023263.

The spelling of 233175040 in words is "two hundred thirty-three million, one hundred seventy-five thousand, forty".