220364224 has 56 divisors (see below), whose sum is σ = 448622928. Its totient is φ = 107366400.

The previous prime is 220364203. The next prime is 220364227. The reversal of 220364224 is 422463022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220364227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471639 + ... + 472105.

Almost surely, 2^220364224 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 220364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224311464).

220364224 is an abundant number, since it is smaller than the sum of its proper divisors (228258704).

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

220364224 is a wasteful number, since it uses less digits than its factorization.

220364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 220364224 is about 14844.6698851810. The cubic root of 220364224 is about 604.0140341461.

The spelling of 220364224 in words is "two hundred twenty million, three hundred sixty-four thousand, two hundred twenty-four".