233997312 has 132 divisors (see below), whose sum is σ = 661361136. Its totient is φ = 73543680.

The previous prime is 233997311. The next prime is 233997319. The reversal of 233997312 is 213799332.

It is not an unprimeable number, because it can be changed into a prime (233997311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108887 + ... + 1109097.

Almost surely, 2^233997312 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 233997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330680568).

233997312 is an abundant number, since it is smaller than the sum of its proper divisors (427363824).

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

233997312 is a wasteful number, since it uses less digits than its factorization.

233997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 235 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 233997312 is about 15296.9706804975. The cubic root of 233997312 is about 616.2216552072.

The spelling of 233997312 in words is "two hundred thirty-three million, nine hundred ninety-seven thousand, three hundred twelve".