221622160 has 80 divisors (see below), whose sum is σ = 528042096. Its totient is φ = 86482944.

The previous prime is 221622139. The next prime is 221622161. The reversal of 221622160 is 61226122.

It can be written as a sum of positive squares in 8 ways, for example, as 6471936 + 215150224 = 2544^2 + 14668^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (221622161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799942 + ... + 800218.

Almost surely, 2^221622160 is an apocalyptic number.

221622160 is a gapful number since it is divisible by the number (20) 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 221622160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264021048).

221622160 is an abundant number, since it is smaller than the sum of its proper divisors (306419936).

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

221622160 is a wasteful number, since it uses less digits than its factorization.

221622160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 221622160 is about 14886.9795458985. The cubic root of 221622160 is about 605.1611801051.

Adding to 221622160 its reverse (61226122), we get a palindrome (282848282).

The spelling of 221622160 in words is "two hundred twenty-one million, six hundred twenty-two thousand, one hundred sixty".