233481120 has 96 divisors (see below), whose sum is σ = 774204480. Its totient is φ = 58982400.

The previous prime is 233481109. The next prime is 233481151. The reversal of 233481120 is 21184332.

233481120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3681 + ... + 21920.

It is an arithmetic number, because the mean of its divisors is an integer number (8064630).

Almost surely, 2^233481120 is an apocalyptic number.

233481120 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 233481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387102240).

233481120 is an abundant number, since it is smaller than the sum of its proper divisors (540723360).

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

233481120 is a wasteful number, since it uses less digits than its factorization.

233481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25638 (or 25630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 233481120 is about 15280.0890049764. The cubic root of 233481120 is about 615.7681986106.

The spelling of 233481120 in words is "two hundred thirty-three million, four hundred eighty-one thousand, one hundred twenty".