220834944 has 256 divisors, whose sum is σ = 734889600. Its totient is φ = 64696320.

The previous prime is 220834931. The next prime is 220834951. The reversal of 220834944 is 449438022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220834899 and 220834908.

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 31 ways as a sum of consecutive naturals, for example, 1406514 + ... + 1406670.

Almost surely, 2^220834944 is an apocalyptic number.

220834944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367444800).

220834944 is an abundant number, since it is smaller than the sum of its proper divisors (514054656).

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

220834944 is a wasteful number, since it uses less digits than its factorization.

220834944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 220834944 is about 14860.5162763613. The cubic root of 220834944 is about 604.4438063879.

The spelling of 220834944 in words is "two hundred twenty million, eight hundred thirty-four thousand, nine hundred forty-four".