220101792 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 71285760.

The previous prime is 220101779. The next prime is 220101797. The reversal of 220101792 is 297101022.

220101792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220101792² = 96889597683222528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (220101797) 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, 920809 + ... + 921047.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^220101792 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 220101792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

220101792 is an abundant number, since it is smaller than the sum of its proper divisors (374295648).

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

220101792 is a wasteful number, since it uses less digits than its factorization.

220101792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 220101792 is about 14835.8279849828. The cubic root of 220101792 is about 603.7741652386.

The spelling of 220101792 in words is "two hundred twenty million, one hundred one thousand, seven hundred ninety-two".