220240384 has 160 divisors (see below), whose sum is σ = 563713920. Its totient is φ = 83607552.

The previous prime is 220240301. The next prime is 220240409. The reversal of 220240384 is 483042022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351087 + ... + 1351249.

It is an arithmetic number, because the mean of its divisors is an integer number (3523212).

Almost surely, 2^220240384 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 220240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281856960).

220240384 is an abundant number, since it is smaller than the sum of its proper divisors (343473536).

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

220240384 is a wasteful number, since it uses less digits than its factorization.

220240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 220240384 is about 14840.4981048481. The cubic root of 220240384 is about 603.9008652702.

The spelling of 220240384 in words is "two hundred twenty million, two hundred forty thousand, three hundred eighty-four".