234315120 has 240 divisors, whose sum is σ = 808742880. Its totient is φ = 56070144.

The previous prime is 234315101. The next prime is 234315197. The reversal of 234315120 is 21513432.

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

It is a super-2 number, since 2×234315120² = 109807150921228800, which contains 22 as substring.

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, 2149626 + ... + 2149734.

It is an arithmetic number, because the mean of its divisors is an integer number (3369762).

Almost surely, 2^234315120 is an apocalyptic number.

234315120 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 234315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404371440).

234315120 is an abundant number, since it is smaller than the sum of its proper divisors (574427760).

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

234315120 is a wasteful number, since it uses less digits than its factorization.

234315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 234315120 is about 15307.3550948555. The cubic root of 234315120 is about 616.5005068111.

Adding to 234315120 its reverse (21513432), we get a palindrome (255828552).

The spelling of 234315120 in words is "two hundred thirty-four million, three hundred fifteen thousand, one hundred twenty".