233202112 has 112 divisors (see below), whose sum is σ = 552004992. Its totient is φ = 96353280.

The previous prime is 233202103. The next prime is 233202131. The reversal of 233202112 is 211202332.

233202112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 759463 + ... + 759769.

It is an arithmetic number, because the mean of its divisors is an integer number (4928616).

Almost surely, 2^233202112 is an apocalyptic number.

233202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276002496).

233202112 is an abundant number, since it is smaller than the sum of its proper divisors (318802880).

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

233202112 is a wasteful number, since it uses less digits than its factorization.

233202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 233202112 is about 15270.9564860882. The cubic root of 233202112 is about 615.5228215484.

Adding to 233202112 its reverse (211202332), we get a palindrome (444404444).

The spelling of 233202112 in words is "two hundred thirty-three million, two hundred two thousand, one hundred twelve".