220186656 has 72 divisors (see below), whose sum is σ = 635557104. Its totient is φ = 72293760.

The previous prime is 220186651. The next prime is 220186657. The reversal of 220186656 is 656681022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220186656.

It is not an unprimeable number, because it can be changed into a prime (220186651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13591 + ... + 25001.

It is an arithmetic number, because the mean of its divisors is an integer number (8827182).

Almost surely, 2^220186656 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 220186656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317778552).

220186656 is an abundant number, since it is smaller than the sum of its proper divisors (415370448).

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

220186656 is a wasteful number, since it uses less digits than its factorization.

220186656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11494 (or 11483 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 220186656 is about 14838.6878126066. The cubic root of 220186656 is about 603.8517537435.

The spelling of 220186656 in words is "two hundred twenty million, one hundred eighty-six thousand, six hundred fifty-six".