220021344 has 72 divisors (see below), whose sum is σ = 662505480. Its totient is φ = 69024768.

The previous prime is 220021337. The next prime is 220021397. The reversal of 220021344 is 443120022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 17574 + ... + 27365.

It is an arithmetic number, because the mean of its divisors is an integer number (9201465).

Almost surely, 2^220021344 is an apocalyptic number.

220021344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220021344 is an abundant number, since it is smaller than the sum of its proper divisors (442484136).

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

220021344 is a wasteful number, since it uses less digits than its factorization.

220021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44972 (or 44961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220021344 is about 14833.1164628341. The cubic root of 220021344 is about 603.7005957285.

Adding to 220021344 its reverse (443120022), we get a palindrome (663141366).

The spelling of 220021344 in words is "two hundred twenty million, twenty-one thousand, three hundred forty-four".