221856768 has 264 divisors, whose sum is σ = 774912320. Its totient is φ = 59719680.

The previous prime is 221856763. The next prime is 221856793. The reversal of 221856768 is 867658122.

221856768 is a `hidden beast` number, since 2 + 21 + 8 + 567 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (221856763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225638 + ... + 1225818.

Almost surely, 2^221856768 is an apocalyptic number.

221856768 is a gapful number since it is divisible by the number (28) 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 221856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387456160).

221856768 is an abundant number, since it is smaller than the sum of its proper divisors (553055552).

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

221856768 is a wasteful number, since it uses less digits than its factorization.

221856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 221856768 is about 14894.8570990124. The cubic root of 221856768 is about 605.3746448978.

The spelling of 221856768 in words is "two hundred twenty-one million, eight hundred fifty-six thousand, seven hundred sixty-eight".