220441312 has 192 divisors, whose sum is σ = 582712704. Its totient is φ = 79626240.

The previous prime is 220441307. The next prime is 220441337. The reversal of 220441312 is 213144022.

It is a self number, because there is not a number n which added to its sum of digits gives 220441312.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3019708 + ... + 3019780.

It is an arithmetic number, because the mean of its divisors is an integer number (3034962).

Almost surely, 2^220441312 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 220441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291356352).

220441312 is an abundant number, since it is smaller than the sum of its proper divisors (362271392).

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

220441312 is a wasteful number, since it uses less digits than its factorization.

220441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 220441312 is about 14847.2661456579. The cubic root of 220441312 is about 604.0844581689.

Adding to 220441312 its reverse (213144022), we get a palindrome (433585334).

The spelling of 220441312 in words is "two hundred twenty million, four hundred forty-one thousand, three hundred twelve".