233032320 has 192 divisors, whose sum is σ = 840153600. Its totient is φ = 59406336.

The previous prime is 233032271. The next prime is 233032337. The reversal of 233032320 is 23230332.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233032293 and 233032302.

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 23 ways as a sum of consecutive naturals, for example, 131601 + ... + 133359.

It is an arithmetic number, because the mean of its divisors is an integer number (4375800).

Almost surely, 2^233032320 is an apocalyptic number.

233032320 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 233032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420076800).

233032320 is an abundant number, since it is smaller than the sum of its proper divisors (607121280).

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

233032320 is a wasteful number, since it uses less digits than its factorization.

233032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 233032320 is about 15265.3961625632. The cubic root of 233032320 is about 615.3734000520.

Adding to 233032320 its reverse (23230332), we get a palindrome (256262652).

The spelling of 233032320 in words is "two hundred thirty-three million, thirty-two thousand, three hundred twenty".