233413120 has 80 divisors (see below), whose sum is σ = 567765000. Its totient is φ = 92012544.

The previous prime is 233413097. The next prime is 233413127. The reversal of 233413120 is 21314332.

It can be written as a sum of positive squares in 4 ways, for example, as 184525056 + 48888064 = 13584^2 + 6992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (233413127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186256 + ... + 187504.

Almost surely, 2^233413120 is an apocalyptic number.

233413120 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 233413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283882500).

233413120 is an abundant number, since it is smaller than the sum of its proper divisors (334351880).

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

233413120 is an equidigital number, since it uses as much as digits as its factorization.

233413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 233413120 is about 15277.8637250108. The cubic root of 233413120 is about 615.7084131867.

Adding to 233413120 its reverse (21314332), we get a palindrome (254727452).

It can be divided in two parts, 23 and 3413120, that added together give a palindrome (3413143).

The spelling of 233413120 in words is "two hundred thirty-three million, four hundred thirteen thousand, one hundred twenty".