221872968 has 48 divisors (see below), whose sum is σ = 621632700. Its totient is φ = 71406720.

The previous prime is 221872961. The next prime is 221873011. The reversal of 221872968 is 869278122.

It can be written as a sum of positive squares in 2 ways, for example, as 191600964 + 30272004 = 13842^2 + 5502^2 .

It is a super-2 number, since 2×221872968² = 98455227858258048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221872961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51043 + ... + 55218.

Almost surely, 2^221872968 is an apocalyptic number.

It is an amenable number.

221872968 is an abundant number, since it is smaller than the sum of its proper divisors (399759732).

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

221872968 is a wasteful number, since it uses less digits than its factorization.

221872968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106302 (or 106295 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 221872968 is about 14895.4009009493. The cubic root of 221872968 is about 605.3893793752.

The spelling of 221872968 in words is "two hundred twenty-one million, eight hundred seventy-two thousand, nine hundred sixty-eight".