221086432 has 144 divisors (see below), whose sum is σ = 548992080. Its totient is φ = 87091200.

The previous prime is 221086427. The next prime is 221086469. The reversal of 221086432 is 234680122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 221086432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221382 + ... + 1221562.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2^221086432 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 221086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

221086432 is an abundant number, since it is smaller than the sum of its proper divisors (327905648).

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

221086432 is a wasteful number, since it uses less digits than its factorization.

221086432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 221086432 is about 14868.9754858901. The cubic root of 221086432 is about 604.6731672766.

The spelling of 221086432 in words is "two hundred twenty-one million, eighty-six thousand, four hundred thirty-two".