233313984 has 84 divisors (see below), whose sum is σ = 708120504. Its totient is φ = 73193472.

The previous prime is 233313947. The next prime is 233314007. The reversal of 233313984 is 489313332.

233313984 is a `hidden beast` number, since 233 + 31 + 398 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2122 + ... + 21705.

It is an arithmetic number, because the mean of its divisors is an integer number (8430006).

Almost surely, 2^233313984 is an apocalyptic number.

233313984 is a gapful number since it is divisible by the number (24) 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 233313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354060252).

233313984 is an abundant number, since it is smaller than the sum of its proper divisors (474806520).

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

233313984 is a wasteful number, since it uses less digits than its factorization.

233313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23862 (or 23849 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 233313984 is about 15274.6189477839. The cubic root of 233313984 is about 615.6212322650.

The spelling of 233313984 in words is "two hundred thirty-three million, three hundred thirteen thousand, nine hundred eighty-four".