220344192 has 128 divisors (see below), whose sum is σ = 657696000. Its totient is φ = 72617472.

The previous prime is 220344109. The next prime is 220344203. The reversal of 220344192 is 291443022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355659 + ... + 356277.

It is an arithmetic number, because the mean of its divisors is an integer number (5138250).

Almost surely, 2^220344192 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 220344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328848000).

220344192 is an abundant number, since it is smaller than the sum of its proper divisors (437351808).

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

220344192 is a wasteful number, since it uses less digits than its factorization.

220344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220344192 is about 14843.9951495546. The cubic root of 220344192 is about 603.9957311512.

The spelling of 220344192 in words is "two hundred twenty million, three hundred forty-four thousand, one hundred ninety-two".