221434025232 has 320 divisors, whose sum is σ = 717019250688. Its totient is φ = 57424896000.

The previous prime is 221434025231. The next prime is 221434025243. The reversal of 221434025232 is 232520434122.

221434025232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221434025232.

It is not an unprimeable number, because it can be changed into a prime (221434025231) 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, 55067382 + ... + 55071402.

Almost surely, 2^221434025232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221434025232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358509625344).

221434025232 is an abundant number, since it is smaller than the sum of its proper divisors (495585225456).

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

221434025232 is a wasteful number, since it uses less digits than its factorization.

221434025232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 221434025232 its reverse (232520434122), we get a palindrome (453954459354).

The spelling of 221434025232 in words is "two hundred twenty-one billion, four hundred thirty-four million, twenty-five thousand, two hundred thirty-two".