233431120 has 80 divisors (see below), whose sum is σ = 586993680. Its totient is φ = 85819392.

The previous prime is 233431111. The next prime is 233431123. The reversal of 233431120 is 21134332.

233431120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 685584 + 232745536 = 828^2 + 15256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233431123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404272 + ... + 404848.

It is an arithmetic number, because the mean of its divisors is an integer number (7337421).

Almost surely, 2^233431120 is an apocalyptic number.

233431120 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 233431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293496840).

233431120 is an abundant number, since it is smaller than the sum of its proper divisors (353562560).

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

233431120 is a wasteful number, since it uses less digits than its factorization.

233431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

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

The square root of 233431120 is about 15278.4528012492. The cubic root of 233431120 is about 615.7242398700.

Adding to 233431120 its reverse (21134332), we get a palindrome (254565452).

The spelling of 233431120 in words is "two hundred thirty-three million, four hundred thirty-one thousand, one hundred twenty".