221050432 has 56 divisors (see below), whose sum is σ = 453470264. Its totient is φ = 106831872.

The previous prime is 221050421. The next prime is 221050433. The reversal of 221050432 is 234050122.

It can be written as a sum of positive squares in 4 ways, for example, as 22127616 + 198922816 = 4704^2 + 14104^2 .

It is not an unprimeable number, because it can be changed into a prime (221050433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655768 + ... + 656104.

Almost surely, 2^221050432 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 221050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226735132).

221050432 is an abundant number, since it is smaller than the sum of its proper divisors (232419832).

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

221050432 is a wasteful number, since it uses less digits than its factorization.

221050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 221050432 is about 14867.7648622784. The cubic root of 221050432 is about 604.6403453987.

The spelling of 221050432 in words is "two hundred twenty-one million, fifty thousand, four hundred thirty-two".