220330880 has 256 divisors, whose sum is σ = 697973760. Its totient is φ = 64389120.

The previous prime is 220330879. The next prime is 220330889. The reversal of 220330880 is 88033022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220330889) 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 31 ways as a sum of consecutive naturals, for example, 837629 + ... + 837891.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 2^220330880 is an apocalyptic number.

220330880 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 220330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348986880).

220330880 is an abundant number, since it is smaller than the sum of its proper divisors (477642880).

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

220330880 is a wasteful number, since it uses less digits than its factorization.

220330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 220330880 is about 14843.5467459769. The cubic root of 220330880 is about 603.9835675251.

The spelling of 220330880 in words is "two hundred twenty million, three hundred thirty thousand, eight hundred eighty".