221451200432 has 160 divisors (see below), whose sum is σ = 543439217664. Its totient is φ = 84912307200.

The previous prime is 221451200413. The next prime is 221451200437. The reversal of 221451200432 is 234002154122.

221451200432 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 (221451200437) 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 31 ways as a sum of consecutive naturals, for example, 57117278 + ... + 57121154.

Almost surely, 2^221451200432 is an apocalyptic number.

221451200432 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 221451200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271719608832).

221451200432 is an abundant number, since it is smaller than the sum of its proper divisors (321988017232).

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

221451200432 is a wasteful number, since it uses less digits than its factorization.

221451200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 221451200432 its reverse (234002154122), we get a palindrome (455453354554).

The spelling of 221451200432 in words is "two hundred twenty-one billion, four hundred fifty-one million, two hundred thousand, four hundred thirty-two".