232254452232 has 192 divisors, whose sum is σ = 694060436160. Its totient is φ = 69576768000.

The previous prime is 232254452231. The next prime is 232254452291.

232254452232 is a `hidden beast` number, since 2 + 32 + 2 + 544 + 52 + 2 + 32 = 666.

232254452232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (232254452231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63751803 + ... + 63755445.

It is an arithmetic number, because the mean of its divisors is an integer number (3614898105).

Almost surely, 2^232254452232 is an apocalyptic number.

232254452232 is a gapful number since it is divisible by the number (22) 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 232254452232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347030218080).

232254452232 is an abundant number, since it is smaller than the sum of its proper divisors (461805983928).

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

232254452232 is a wasteful number, since it uses less digits than its factorization.

232254452232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4557 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

It can be divided in two parts, 232254 and 452232, that added together give a palindrome (684486).

The spelling of 232254452232 in words is "two hundred thirty-two billion, two hundred fifty-four million, four hundred fifty-two thousand, two hundred thirty-two".