220211992 has 128 divisors (see below), whose sum is σ = 561738240. Its totient is φ = 78151680.

The previous prime is 220211989. The next prime is 220212023. The reversal of 220211992 is 299112022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 220211992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856728 + ... + 856984.

It is an arithmetic number, because the mean of its divisors is an integer number (4388580).

Almost surely, 2^220211992 is an apocalyptic number.

220211992 is a gapful number since it is divisible by the number (22) 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 220211992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280869120).

220211992 is an abundant number, since it is smaller than the sum of its proper divisors (341526248).

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

220211992 is a wasteful number, since it uses less digits than its factorization.

220211992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 220211992 is about 14839.5415023511. The cubic root of 220211992 is about 603.8749137925.

It can be divided in two parts, 220 and 211992, that added together give a palindrome (212212).

The spelling of 220211992 in words is "two hundred twenty million, two hundred eleven thousand, nine hundred ninety-two".