220893520 has 20 divisors (see below), whose sum is σ = 513577620. Its totient is φ = 88357376.

The previous prime is 220893503. The next prime is 220893523. The reversal of 220893520 is 25398022.

It can be written as a sum of positive squares in 2 ways, for example, as 62536464 + 158357056 = 7908^2 + 12584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220893523) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1380505 + ... + 1380664.

It is an arithmetic number, because the mean of its divisors is an integer number (25678881).

Almost surely, 2^220893520 is an apocalyptic number.

220893520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220893520 is an abundant number, since it is smaller than the sum of its proper divisors (292684100).

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

220893520 is a wasteful number, since it uses less digits than its factorization.

220893520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761182 (or 2761176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 220893520 is about 14862.4870058816. The cubic root of 220893520 is about 604.4972441422.

The spelling of 220893520 in words is "two hundred twenty million, eight hundred ninety-three thousand, five hundred twenty".