220020192 has 144 divisors (see below), whose sum is σ = 746640720. Its totient is φ = 62850816.

The previous prime is 220020191. The next prime is 220020217. The reversal of 220020192 is 291020022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39738 + ... + 44934.

It is an arithmetic number, because the mean of its divisors is an integer number (5185005).

Almost surely, 2^220020192 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 220020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373320360).

220020192 is an abundant number, since it is smaller than the sum of its proper divisors (526620528).

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

220020192 is a wasteful number, since it uses less digits than its factorization.

220020192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 220020192 is about 14833.0776307549. The cubic root of 220020192 is about 603.6995420969.

The spelling of 220020192 in words is "two hundred twenty million, twenty thousand, one hundred ninety-two".