221268 has 12 divisors (see below), whose sum is σ = 516320. Its totient is φ = 73752.

The previous prime is 221261. The next prime is 221281. The reversal of 221268 is 862122.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221268.

It is not an unprimeable number, because it can be changed into a prime (221261) by changing a digit.

221268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9208 + ... + 9231.

2²²¹²⁶⁸ is an apocalyptic number.

It is an amenable number.

221268 is an abundant number, since it is smaller than the sum of its proper divisors (295052).

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

221268 is a wasteful number, since it uses less digits than its factorization.

221268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18446 (or 18444 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 221268 is about 470.3913264506. The cubic root of 221268 is about 60.4838651963.

The spelling of 221268 in words is "two hundred twenty-one thousand, two hundred sixty-eight".