220361344 has 192 divisors, whose sum is σ = 571167360. Its totient is φ = 82722816.

The previous prime is 220361329. The next prime is 220361357. The reversal of 220361344 is 443163022.

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, 5955694 + ... + 5955730.

It is an arithmetic number, because the mean of its divisors is an integer number (2974830).

Almost surely, 2^220361344 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 220361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285583680).

220361344 is an abundant number, since it is smaller than the sum of its proper divisors (350806016).

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

220361344 is a wasteful number, since it uses less digits than its factorization.

220361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 220361344 is about 14844.5728803492. The cubic root of 220361344 is about 604.0114027934.

The spelling of 220361344 in words is "two hundred twenty million, three hundred sixty-one thousand, three hundred forty-four".