233114880 has 144 divisors (see below), whose sum is σ = 788526144. Its totient is φ = 58490880.

The previous prime is 233114873. The next prime is 233114881. The reversal of 233114880 is 88411332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233114881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63495 + ... + 67065.

It is an arithmetic number, because the mean of its divisors is an integer number (5475876).

Almost surely, 2^233114880 is an apocalyptic number.

233114880 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 233114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394263072).

233114880 is an abundant number, since it is smaller than the sum of its proper divisors (555411264).

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

233114880 is a wasteful number, since it uses less digits than its factorization.

233114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 233114880 is about 15268.1000782678. The cubic root of 233114880 is about 615.4460641203.

The spelling of 233114880 in words is "two hundred thirty-three million, one hundred fourteen thousand, eight hundred eighty".