221188968 has 480 divisors, whose sum is σ = 865159680. Its totient is φ = 51321600.

The previous prime is 221188963. The next prime is 221188991. The reversal of 221188968 is 869881122.

It is a happy number.

221188968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221188963) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7135113 + ... + 7135143.

It is an arithmetic number, because the mean of its divisors is an integer number (1802416).

Almost surely, 2^221188968 is an apocalyptic number.

221188968 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 221188968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432579840).

221188968 is an abundant number, since it is smaller than the sum of its proper divisors (643970712).

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

221188968 is a wasteful number, since it uses less digits than its factorization.

221188968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 221188968 is about 14872.4230709054. The cubic root of 221188968 is about 604.7666317569.

The spelling of 221188968 in words is "two hundred twenty-one million, one hundred eighty-eight thousand, nine hundred sixty-eight".