220192016 has 80 divisors (see below), whose sum is σ = 480826368. Its totient is φ = 96835200.

The previous prime is 220192013. The next prime is 220192031. The reversal of 220192016 is 610291022.

It is a junction number, because it is equal to n+sod(n) for n = 220191982 and 220192000.

It is not an unprimeable number, because it can be changed into a prime (220192013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837101 + ... + 837363.

Almost surely, 2^220192016 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 220192016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240413184).

220192016 is an abundant number, since it is smaller than the sum of its proper divisors (260634352).

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

220192016 is a wasteful number, since it uses less digits than its factorization.

220192016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 220192016 is about 14838.8684204693. The cubic root of 220192016 is about 603.8566535547.

The spelling of 220192016 in words is "two hundred twenty million, one hundred ninety-two thousand, sixteen".