233213372 has 96 divisors (see below), whose sum is σ = 516096000. Its totient is φ = 89968320.

The previous prime is 233213369. The next prime is 233213377. The reversal of 233213372 is 273312332.

It is a super-2 number, since 2×233213372² = 108776953759220768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233213377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302779 + ... + 1302957.

It is an arithmetic number, because the mean of its divisors is an integer number (5376000).

Almost surely, 2^233213372 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 233213372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048000).

233213372 is an abundant number, since it is smaller than the sum of its proper divisors (282882628).

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

233213372 is a wasteful number, since it uses less digits than its factorization.

233213372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its digits is 4536, while the sum is 26.

The square root of 233213372 is about 15271.3251553361. The cubic root of 233213372 is about 615.5327280845.

The spelling of 233213372 in words is "two hundred thirty-three million, two hundred thirteen thousand, three hundred seventy-two".