233233984 has 63 divisors (see below), whose sum is σ = 489720763. Its totient is φ = 110202752.

The previous prime is 233233963. The next prime is 233234009. The reversal of 233233984 is 489332332.

The square root of 233233984 is 15272.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (93312) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2810007 + ... + 2810089.

Almost surely, 2^233233984 is an apocalyptic number.

233233984 is the 15272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233233984

233233984 is an abundant number, since it is smaller than the sum of its proper divisors (256486779).

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

233233984 is an frugal number, since it uses more digits than its factorization.

233233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 108 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The cubic root of 233233984 is about 615.5508616742.

The spelling of 233233984 in words is "two hundred thirty-three million, two hundred thirty-three thousand, nine hundred eighty-four".