221924256 has 144 divisors (see below), whose sum is σ = 652952160. Its totient is φ = 65802240.

The previous prime is 221924249. The next prime is 221924291. The reversal of 221924256 is 652429122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526926 + ... + 527346.

It is an arithmetic number, because the mean of its divisors is an integer number (4534390).

Almost surely, 2^221924256 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 221924256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326476080).

221924256 is an abundant number, since it is smaller than the sum of its proper divisors (431027904).

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

221924256 is a wasteful number, since it uses less digits than its factorization.

221924256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 462 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 221924256 is about 14897.1224066932. The cubic root of 221924256 is about 605.4360229097.

The spelling of 221924256 in words is "two hundred twenty-one million, nine hundred twenty-four thousand, two hundred fifty-six".