233133312 has 72 divisors (see below), whose sum is σ = 626494176. Its totient is φ = 76957696.

The previous prime is 233133289. The next prime is 233133323. The reversal of 233133312 is 213331332.

It is a super-2 number, since 2×233133312² = 108702282328178688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80758 + ... + 83594.

It is an arithmetic number, because the mean of its divisors is an integer number (8701308).

Almost surely, 2^233133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313247088).

233133312 is an abundant number, since it is smaller than the sum of its proper divisors (393360864).

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

233133312 is a wasteful number, since it uses less digits than its factorization.

233133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2949 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 233133312 is about 15268.7036777848. The cubic root of 233133312 is about 615.4622844532.

Adding to 233133312 its reverse (213331332), we get a palindrome (446464644).

The spelling of 233133312 in words is "two hundred thirty-three million, one hundred thirty-three thousand, three hundred twelve".