233115120 has 240 divisors, whose sum is σ = 934083072. Its totient is φ = 50941440.

The previous prime is 233115107. The next prime is 233115151. The reversal of 233115120 is 21511332.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×233115120² = 108685318345228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233115093 and 233115102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114915 + ... + 116925.

Almost surely, 2^233115120 is an apocalyptic number.

233115120 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 233115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467041536).

233115120 is an abundant number, since it is smaller than the sum of its proper divisors (700967952).

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

233115120 is a wasteful number, since it uses less digits than its factorization.

233115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 233115120 is about 15268.1079377898. The cubic root of 233115120 is about 615.4462753280.

Adding to 233115120 its reverse (21511332), we get a palindrome (254626452).

The spelling of 233115120 in words is "two hundred thirty-three million, one hundred fifteen thousand, one hundred twenty".