232032013200 has 360 divisors, whose sum is σ = 904861793472. Its totient is φ = 54632033280.

The previous prime is 232032013163. The next prime is 232032013207. The reversal of 232032013200 is 2310230232.

It is a happy number.

232032013200 is a `hidden beast` number, since 2 + 3 + 20 + 320 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (232032013207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 968619 + ... + 1184181.

Almost surely, 2^232032013200 is an apocalyptic number.

232032013200 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 232032013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452430896736).

232032013200 is an abundant number, since it is smaller than the sum of its proper divisors (672829780272).

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

232032013200 is a wasteful number, since it uses less digits than its factorization.

232032013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215623 (or 215609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232032013200 its reverse (2310230232), we get a palindrome (234342243432).

The spelling of 232032013200 in words is "two hundred thirty-two billion, thirty-two million, thirteen thousand, two hundred".