233802912 has 144 divisors (see below), whose sum is σ = 745319232. Its totient is φ = 63866880.

The previous prime is 233802871. The next prime is 233802913. The reversal of 233802912 is 219208332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 233802912.

It is not an unprimeable number, because it can be changed into a prime (233802913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107112 + ... + 109272.

It is an arithmetic number, because the mean of its divisors is an integer number (5175828).

Almost surely, 2^233802912 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 233802912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372659616).

233802912 is an abundant number, since it is smaller than the sum of its proper divisors (511516320).

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

233802912 is a wasteful number, since it uses less digits than its factorization.

233802912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 233802912 is about 15290.6151609410. The cubic root of 233802912 is about 616.0509599714.

The spelling of 233802912 in words is "two hundred thirty-three million, eight hundred two thousand, nine hundred twelve".