233852112 has 120 divisors (see below), whose sum is σ = 718407144. Its totient is φ = 70566912.

The previous prime is 233852107. The next prime is 233852141. The reversal of 233852112 is 211258332.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 229340736 = 2124^2 + 15144^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98038 + ... + 100394.

Almost surely, 2^233852112 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 233852112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359203572).

233852112 is an abundant number, since it is smaller than the sum of its proper divisors (484555032).

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

233852112 is a wasteful number, since it uses less digits than its factorization.

233852112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2428 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 233852112 is about 15292.2239062865. The cubic root of 233852112 is about 616.0941695579.

The spelling of 233852112 in words is "two hundred thirty-three million, eight hundred fifty-two thousand, one hundred twelve".