233031120 has 160 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 52339200.

The previous prime is 233031107. The next prime is 233031133. The reversal of 233031120 is 21130332.

It is an interprime number because it is at equal distance from previous prime (233031107) and next prime (233031133).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 233031120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97945 + ... + 100295.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^233031120 is an apocalyptic number.

233031120 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 233031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

233031120 is an abundant number, since it is smaller than the sum of its proper divisors (606915120).

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

233031120 is a wasteful number, since it uses less digits than its factorization.

233031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 233031120 is about 15265.3568579316. The cubic root of 233031120 is about 615.3723437617.

Adding to 233031120 its reverse (21130332), we get a palindrome (254161452).

The spelling of 233031120 in words is "two hundred thirty-three million, thirty-one thousand, one hundred twenty".