220581984 has 96 divisors (see below), whose sum is σ = 666489600. Its totient is φ = 62572032.

The previous prime is 220581971. The next prime is 220582003. The reversal of 220581984 is 489185022.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 99027 + ... + 101229.

It is an arithmetic number, because the mean of its divisors is an integer number (6942600).

Almost surely, 2^220581984 is an apocalyptic number.

220581984 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 220581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333244800).

220581984 is an abundant number, since it is smaller than the sum of its proper divisors (445907616).

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

220581984 is a wasteful number, since it uses less digits than its factorization.

220581984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 220581984 is about 14852.0026932397. The cubic root of 220581984 is about 604.2129272819.

It can be divided in two parts, 22058 and 1984, that added together give a palindrome (24042).

The spelling of 220581984 in words is "two hundred twenty million, five hundred eighty-one thousand, nine hundred eighty-four".