221360256 has 192 divisors, whose sum is σ = 709308000. Its totient is φ = 67931136.

The previous prime is 221360239. The next prime is 221360261. The reversal of 221360256 is 652063122.

221360256 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 602 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583875 + ... + 584253.

Almost surely, 2^221360256 is an apocalyptic number.

221360256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354654000).

221360256 is an abundant number, since it is smaller than the sum of its proper divisors (487947744).

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

221360256 is a wasteful number, since it uses less digits than its factorization.

221360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 221360256 is about 14878.1805339228. The cubic root of 221360256 is about 604.9227012323.

The spelling of 221360256 in words is "two hundred twenty-one million, three hundred sixty thousand, two hundred fifty-six".