233113320 has 288 divisors, whose sum is σ = 869188320. Its totient is φ = 53706240.

The previous prime is 233113297. The next prime is 233113351. The reversal of 233113320 is 23311332.

233113320 is a `hidden beast` number, since 2 + 331 + 1 + 332 + 0 = 666.

233113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233113320² = 108683639922844800, 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 = 233113293 and 233113302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5421219 + ... + 5421261.

It is an arithmetic number, because the mean of its divisors is an integer number (3018015).

Almost surely, 2^233113320 is an apocalyptic number.

233113320 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 233113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434594160).

233113320 is an abundant number, since it is smaller than the sum of its proper divisors (636075000).

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

233113320 is a wasteful number, since it uses less digits than its factorization.

233113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 233113320 is about 15268.0489912759. The cubic root of 233113320 is about 615.4446912664. Note that the first 3 decimals are identical.

Adding to 233113320 its reverse (23311332), we get a palindrome (256424652).

It can be divided in two parts, 2331 and 13320, that added together give a palindrome (15651).

The spelling of 233113320 in words is "two hundred thirty-three million, one hundred thirteen thousand, three hundred twenty".