220094160 has 320 divisors, whose sum is σ = 823447296. Its totient is φ = 48322560.

The previous prime is 220094159. The next prime is 220094201. The reversal of 220094160 is 61490022.

It is a super-2 number, since 2×220094160² = 96882878532211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220094160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4152694 + ... + 4152746.

Almost surely, 2^220094160 is an apocalyptic number.

220094160 is a gapful number since it is divisible by the number (20) 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 220094160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411723648).

220094160 is an abundant number, since it is smaller than the sum of its proper divisors (603353136).

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

220094160 is a wasteful number, since it uses less digits than its factorization.

220094160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 220094160 is about 14835.5707675842. The cubic root of 220094160 is about 603.7671865620.

The spelling of 220094160 in words is "two hundred twenty million, ninety-four thousand, one hundred sixty".