221266968 has 96 divisors (see below), whose sum is σ = 634424400. Its totient is φ = 64057344.

The previous prime is 221266963. The next prime is 221266999. The reversal of 221266968 is 869662122.

221266968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221266968² = 97918142255826048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221266963) 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, 67348 + ... + 70556.

Almost surely, 2^221266968 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 221266968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317212200).

221266968 is an abundant number, since it is smaller than the sum of its proper divisors (413157432).

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

221266968 is a wasteful number, since it uses less digits than its factorization.

221266968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3244 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 221266968 is about 14875.0451427886. The cubic root of 221266968 is about 604.8377116333.

The spelling of 221266968 in words is "two hundred twenty-one million, two hundred sixty-six thousand, nine hundred sixty-eight".