221285568 has 168 divisors, whose sum is σ = 698187072. Its totient is φ = 61641216.

The previous prime is 221285543. The next prime is 221285579. The reversal of 221285568 is 865582122.

It is a tau number, because it is divible by the number of its divisors (168).

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, 404271 + ... + 404817.

Almost surely, 2^221285568 is an apocalyptic number.

221285568 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 221285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349093536).

221285568 is an abundant number, since it is smaller than the sum of its proper divisors (476901504).

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

221285568 is a wasteful number, since it uses less digits than its factorization.

221285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 602 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 221285568 is about 14875.6703378369. The cubic root of 221285568 is about 604.8546589832.

The spelling of 221285568 in words is "two hundred twenty-one million, two hundred eighty-five thousand, five hundred sixty-eight".