233120000 has 180 divisors, whose sum is σ = 613003776. Its totient is φ = 88320000.

The previous prime is 233119993. The next prime is 233120011. The reversal of 233120000 is 21332.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4959977 + ... + 4960023.

Almost surely, 2^233120000 is an apocalyptic number.

233120000 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 233120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306501888).

233120000 is an abundant number, since it is smaller than the sum of its proper divisors (379883776).

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

233120000 is an frugal number, since it uses more digits than its factorization.

233120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 233120000 is about 15268.2677471939. The cubic root of 233120000 is about 615.4505698541.

Adding to 233120000 its reverse (21332), we get a palindrome (233141332).

The spelling of 233120000 in words is "two hundred thirty-three million, one hundred twenty thousand".