232322320 has 80 divisors (see below), whose sum is σ = 555433200. Its totient is φ = 90335232.

The previous prime is 232322317. The next prime is 232322327. The reversal of 232322320 is 23223232.

232322320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 795664 + 231526656 = 892^2 + 15216^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (232322327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665506 + ... + 665854.

It is an arithmetic number, because the mean of its divisors is an integer number (6942915).

Almost surely, 2^232322320 is an apocalyptic number.

232322320 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 232322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277716600).

232322320 is an abundant number, since it is smaller than the sum of its proper divisors (323110880).

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

232322320 is a wasteful number, since it uses less digits than its factorization.

232322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 232322320 is about 15242.1232116789. The cubic root of 232322320 is about 614.7477935613.

Adding to 232322320 its reverse (23223232), we get a palindrome (255545552).

It can be divided in two parts, 23232 and 2320, that added together give a palindrome (25552).

The spelling of 232322320 in words is "two hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty".