232320000 has 330 divisors, whose sum is σ = 850512124. Its totient is φ = 56320000.

The previous prime is 232319999. The next prime is 232320001. The reversal of 232320000 is 23232.

It is an interprime number because it is at equal distance from previous prime (232319999) and next prime (232320001).

It is a tau number, because it is divible by the number of its divisors (330).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (232320001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21119995 + ... + 21120005.

Almost surely, 2^232320000 is an apocalyptic number.

232320000 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 232320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425256062).

232320000 is an abundant number, since it is smaller than the sum of its proper divisors (618192124).

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

232320000 is an equidigital number, since it uses as much as digits as its factorization.

232320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 232320000 is about 15242.0471066061. The cubic root of 232320000 is about 614.7457472381.

Multiplying 232320000 by its sum of digits (12), we get a square (2787840000 = 52800²).

232320000 divided by its sum of digits (12) gives a square (19360000 = 4400²).

Adding to 232320000 its reverse (23232), we get a palindrome (232343232).

Multiplying 232320000 by its reverse (23232), we get a square (5397258240000 = 2323200²).

232320000 divided by its reverse (23232) gives a 4-th power (10000 = 10⁴).

The spelling of 232320000 in words is "two hundred thirty-two million, three hundred twenty thousand".