233253120 has 288 divisors, whose sum is σ = 824140800. Its totient is φ = 55959552.

The previous prime is 233253077. The next prime is 233253127. The reversal of 233253120 is 21352332.

It is not an unprimeable number, because it can be changed into a prime (233253127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678011 + ... + 1678149.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2^233253120 is an apocalyptic number.

233253120 is a gapful number since it is divisible by the number (20) 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 233253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412070400).

233253120 is an abundant number, since it is smaller than the sum of its proper divisors (590887680).

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

233253120 is a wasteful number, since it uses less digits than its factorization.

233253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 233253120 is about 15272.6264931740. The cubic root of 233253120 is about 615.5676957836.

The spelling of 233253120 in words is "two hundred thirty-three million, two hundred fifty-three thousand, one hundred twenty".