233083980 has 60 divisors (see below), whose sum is σ = 731198160. Its totient is φ = 62155296.

The previous prime is 233083967. The next prime is 233083993. The reversal of 233083980 is 89380332.

It is an interprime number because it is at equal distance from previous prime (233083967) and next prime (233083993).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 70320 + ... + 73559.

It is an arithmetic number, because the mean of its divisors is an integer number (12186636).

Almost surely, 2^233083980 is an apocalyptic number.

233083980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233083980 is an abundant number, since it is smaller than the sum of its proper divisors (498114180).

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

233083980 is a wasteful number, since it uses less digits than its factorization.

233083980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143900 (or 143889 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 233083980 is about 15267.0881310091. The cubic root of 233083980 is about 615.4188699121.

The spelling of 233083980 in words is "two hundred thirty-three million, eighty-three thousand, nine hundred eighty".