233401984 has 32 divisors (see below), whose sum is σ = 465854400. Its totient is φ = 116481792.

The previous prime is 233401981. The next prime is 233401991. The reversal of 233401984 is 489104332.

233401984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×233401984² = 108952972270272512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233401981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82969 + ... + 85735.

It is an arithmetic number, because the mean of its divisors is an integer number (14557950).

Almost surely, 2^233401984 is an apocalyptic number.

It is an amenable number.

233401984 is a deficient number, since it is larger than the sum of its proper divisors (232452416).

233401984 is an equidigital number, since it uses as much as digits as its factorization.

233401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 233401984 is about 15277.4992718049. The cubic root of 233401984 is about 615.6986213379.

The spelling of 233401984 in words is "two hundred thirty-three million, four hundred one thousand, nine hundred eighty-four".