220989984 has 48 divisors (see below), whose sum is σ = 584307360. Its totient is φ = 73128960.

The previous prime is 220989983. The next prime is 220989997. The reversal of 220989984 is 489989022.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (220989983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5064 + ... + 21624.

It is an arithmetic number, because the mean of its divisors is an integer number (12173070).

Almost surely, 2^220989984 is an apocalyptic number.

220989984 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 220989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292153680).

220989984 is an abundant number, since it is smaller than the sum of its proper divisors (363317376).

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

220989984 is a wasteful number, since it uses less digits than its factorization.

220989984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16713 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 220989984 is about 14865.7318689663. The cubic root of 220989984 is about 604.5852258025.

The spelling of 220989984 in words is "two hundred twenty million, nine hundred eighty-nine thousand, nine hundred eighty-four".