232024133220 has 288 divisors, whose sum is σ = 743363429760. Its totient is φ = 53967513600.

The previous prime is 232024133213. The next prime is 232024133221. The reversal of 232024133220 is 22331420232.

232024133220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (232024133221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34314640 + ... + 34321400.

It is an arithmetic number, because the mean of its divisors is an integer number (2581123020).

Almost surely, 2^232024133220 is an apocalyptic number.

232024133220 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 232024133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371681714880).

232024133220 is an abundant number, since it is smaller than the sum of its proper divisors (511339296540).

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

232024133220 is a wasteful number, since it uses less digits than its factorization.

232024133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232024133220 its reverse (22331420232), we get a palindrome (254355553452).

The spelling of 232024133220 in words is "two hundred thirty-two billion, twenty-four million, one hundred thirty-three thousand, two hundred twenty".