233827152 has 80 divisors (see below), whose sum is σ = 661291008. Its totient is φ = 70755840.

The previous prime is 233827151. The next prime is 233827159. The reversal of 233827152 is 251728332.

It is a super-2 number, since 2×233827152² = 109350274024862208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233827151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34993 + ... + 41135.

Almost surely, 2^233827152 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 233827152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330645504).

233827152 is an abundant number, since it is smaller than the sum of its proper divisors (427463856).

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

233827152 is a wasteful number, since it uses less digits than its factorization.

233827152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6222 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 233827152 is about 15291.4077834580. The cubic root of 233827152 is about 616.0722493544.

The spelling of 233827152 in words is "two hundred thirty-three million, eight hundred twenty-seven thousand, one hundred fifty-two".