221888 has 14 divisors (see below), whose sum is σ = 440436. Its totient is φ = 110912.

The previous prime is 221873. The next prime is 221891. The reversal of 221888 is 888122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221888.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 1670 + ... + 1797.

2²²¹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

221888 is a deficient number, since it is larger than the sum of its proper divisors (218548).

221888 is an equidigital number, since it uses as much as digits as its factorization.

221888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3469 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 221888 is about 471.0498912005. The cubic root of 221888 is about 60.5403050873.

The spelling of 221888 in words is "two hundred twenty-one thousand, eight hundred eighty-eight".