220381992 has 64 divisors (see below), whose sum is σ = 622584000. Its totient is φ = 72211392.

The previous prime is 220381949. The next prime is 220382017. The reversal of 220381992 is 299183022.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4098 + ... + 21390.

It is an arithmetic number, because the mean of its divisors is an integer number (9727875).

Almost surely, 2^220381992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220381992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311292000).

220381992 is an abundant number, since it is smaller than the sum of its proper divisors (402202008).

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

220381992 is a wasteful number, since it uses less digits than its factorization.

220381992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367 (or 17357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 220381992 is about 14845.2683370830. The cubic root of 220381992 is about 604.0302676234.

The spelling of 220381992 in words is "two hundred twenty million, three hundred eighty-one thousand, nine hundred ninety-two".