220443340224 has 56 divisors (see below), whose sum is σ = 583304406160. Its totient is φ = 73475057664.

The previous prime is 220443340213. The next prime is 220443340261. The reversal of 220443340224 is 422043344022.

220443340224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220443340224² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220443340191 and 220443340200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2704092 + ... + 2784420.

It is an arithmetic number, because the mean of its divisors is an integer number (10416150110).

Almost surely, 2^220443340224 is an apocalyptic number.

220443340224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220443340224 is an abundant number, since it is smaller than the sum of its proper divisors (362861065936).

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

220443340224 is a wasteful number, since it uses less digits than its factorization.

220443340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94637 (or 94627 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 220443340224 its reverse (422043344022), we get a palindrome (642486684246).

The spelling of 220443340224 in words is "two hundred twenty billion, four hundred forty-three million, three hundred forty thousand, two hundred twenty-four".