221372256 has 192 divisors, whose sum is σ = 698277888. Its totient is φ = 60092928.

The previous prime is 221372219. The next prime is 221372297. The reversal of 221372256 is 652273122.

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, 1358031 + ... + 1358193.

It is an arithmetic number, because the mean of its divisors is an integer number (3636864).

Almost surely, 2^221372256 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 221372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349138944).

221372256 is an abundant number, since it is smaller than the sum of its proper divisors (476905632).

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

221372256 is a wasteful number, since it uses less digits than its factorization.

221372256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 221372256 is about 14878.5838035749. The cubic root of 221372256 is about 604.9336320431.

The spelling of 221372256 in words is "two hundred twenty-one million, three hundred seventy-two thousand, two hundred fifty-six".