221309676 has 108 divisors (see below), whose sum is σ = 657296640. Its totient is φ = 62596800.

The previous prime is 221309659. The next prime is 221309681. The reversal of 221309676 is 676903122.

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 221309676.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191701 + ... + 192851.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 2^221309676 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 221309676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

221309676 is an abundant number, since it is smaller than the sum of its proper divisors (435986964).

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

221309676 is a wasteful number, since it uses less digits than its factorization.

221309676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 221309676 is about 14876.4806321925. The cubic root of 221309676 is about 604.8766235224.

The spelling of 221309676 in words is "two hundred twenty-one million, three hundred nine thousand, six hundred seventy-six".