232242242232 has 256 divisors, whose sum is σ = 788953374720. Its totient is φ = 55011110400.

The previous prime is 232242242213. The next prime is 232242242237.

It is a happy number.

232242242232 is nontrivially palindromic in base 10.

232242242232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232242242232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232242242237) 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 63 ways as a sum of consecutive naturals, for example, 1935757 + ... + 2052227.

It is an arithmetic number, because the mean of its divisors is an integer number (3081849120).

Almost surely, 2^232242242232 is an apocalyptic number.

232242242232 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 232242242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394476687360).

232242242232 is an abundant number, since it is smaller than the sum of its proper divisors (556711132488).

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

232242242232 is a wasteful number, since it uses less digits than its factorization.

232242242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116594 (or 116590 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

It can be divided in two parts, 232242 and 242232, that added together give a palindrome (474474).

The spelling of 232242242232 in words is "two hundred thirty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred thirty-two".