233431040 has 112 divisors (see below), whose sum is σ = 577992240. Its totient is φ = 90439680.

The previous prime is 233431019. The next prime is 233431043. The reversal of 233431040 is 40134332.

233431040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233431043) 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 7 ways as a sum of consecutive naturals, for example, 1679291 + ... + 1679429.

It is an arithmetic number, because the mean of its divisors is an integer number (5160645).

Almost surely, 2^233431040 is an apocalyptic number.

233431040 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 233431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288996120).

233431040 is an abundant number, since it is smaller than the sum of its proper divisors (344561200).

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

233431040 is an equidigital number, since it uses as much as digits as its factorization.

233431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 233431040 is about 15278.4501831828. The cubic root of 233431040 is about 615.7241695310.

Adding to 233431040 its reverse (40134332), we get a palindrome (273565372).

The spelling of 233431040 in words is "two hundred thirty-three million, four hundred thirty-one thousand, forty".