233207040 has 144 divisors (see below), whose sum is σ = 812661696. Its totient is φ = 56524800.

The previous prime is 233207011. The next prime is 233207047. The reversal of 233207040 is 40702332.

It is a happy number.

233207040 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 = 233206998 and 233207016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233207047) 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 15 ways as a sum of consecutive naturals, for example, 39480 + ... + 45000.

It is an arithmetic number, because the mean of its divisors is an integer number (5643484).

Almost surely, 2^233207040 is an apocalyptic number.

233207040 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 233207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406330848).

233207040 is an abundant number, since it is smaller than the sum of its proper divisors (579454656).

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

233207040 is a wasteful number, since it uses less digits than its factorization.

233207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 233207040 is about 15271.1178372770. The cubic root of 233207040 is about 615.5271572368.

Adding to 233207040 its reverse (40702332), we get a palindrome (273909372).

The spelling of 233207040 in words is "two hundred thirty-three million, two hundred seven thousand, forty".