221677056 has 120 divisors (see below), whose sum is σ = 649523160. Its totient is φ = 72769536.

The previous prime is 221677033. The next prime is 221677067. The reversal of 221677056 is 650776122.

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 221677056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336055 + ... + 336713.

It is an arithmetic number, because the mean of its divisors is an integer number (5412693).

Almost surely, 2^221677056 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 221677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324761580).

221677056 is an abundant number, since it is smaller than the sum of its proper divisors (427846104).

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

221677056 is an equidigital number, since it uses as much as digits as its factorization.

221677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 221677056 is about 14888.8231905682. The cubic root of 221677056 is about 605.2111422953.

The spelling of 221677056 in words is "two hundred twenty-one million, six hundred seventy-seven thousand, fifty-six".