220139820 has 144 divisors (see below), whose sum is σ = 687173760. Its totient is φ = 57028608.

The previous prime is 220139807. The next prime is 220139839. The reversal of 220139820 is 28931022.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 1606792 + ... + 1606928.

It is an arithmetic number, because the mean of its divisors is an integer number (4772040).

Almost surely, 2^220139820 is an apocalyptic number.

220139820 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 220139820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343586880).

220139820 is an abundant number, since it is smaller than the sum of its proper divisors (467033940).

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

220139820 is a wasteful number, since it uses less digits than its factorization.

220139820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220139820 is about 14837.1095567836. The cubic root of 220139820 is about 603.8089355170.

The spelling of 220139820 in words is "two hundred twenty million, one hundred thirty-nine thousand, eight hundred twenty".