220013040 has 160 divisors (see below), whose sum is σ = 740952576. Its totient is φ = 53683200.

The previous prime is 220013039. The next prime is 220013071. The reversal of 220013040 is 40310022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 470887 + ... + 471353.

Almost surely, 2^220013040 is an apocalyptic number.

220013040 is a gapful number since it is divisible by the number (20) 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 220013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370476288).

220013040 is an abundant number, since it is smaller than the sum of its proper divisors (520939536).

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

220013040 is a wasteful number, since it uses less digits than its factorization.

220013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220013040 is about 14832.8365459881. The cubic root of 220013040 is about 603.6930007187.

Adding to 220013040 its reverse (40310022), we get a palindrome (260323062).

The spelling of 220013040 in words is "two hundred twenty million, thirteen thousand, forty".