221715968 has 80 divisors (see below), whose sum is σ = 466815360. Its totient is φ = 105062400.

The previous prime is 221715961. The next prime is 221715973. The reversal of 221715968 is 869517122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221715961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968078 + ... + 968306.

It is an arithmetic number, because the mean of its divisors is an integer number (5835192).

Almost surely, 2^221715968 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 221715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233407680).

221715968 is an abundant number, since it is smaller than the sum of its proper divisors (245099392).

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

221715968 is an equidigital number, since it uses as much as digits as its factorization.

221715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its digits is 60480, while the sum is 41.

The square root of 221715968 is about 14890.1298852629. The cubic root of 221715968 is about 605.2465520615.

The spelling of 221715968 in words is "two hundred twenty-one million, seven hundred fifteen thousand, nine hundred sixty-eight".