220008984 has 192 divisors, whose sum is σ = 654044160. Its totient is φ = 61205760.

The previous prime is 220008977. The next prime is 220009001. The reversal of 220008984 is 489800022.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5116467 + ... + 5116509.

It is an arithmetic number, because the mean of its divisors is an integer number (3406480).

Almost surely, 2^220008984 is an apocalyptic number.

220008984 is a gapful number since it is divisible by the number (24) 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 220008984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327022080).

220008984 is an abundant number, since it is smaller than the sum of its proper divisors (434035176).

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

220008984 is a wasteful number, since it uses less digits than its factorization.

220008984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 220008984 is about 14832.6998216778. The cubic root of 220008984 is about 603.6892909479.

The spelling of 220008984 in words is "two hundred twenty million, eight thousand, nine hundred eighty-four".