221248 has 14 divisors (see below), whose sum is σ = 439166. Its totient is φ = 110592.

The previous prime is 221239. The next prime is 221251. The reversal of 221248 is 842122.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 97344 = 352^2 + 312^2 .

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

It is an Ulam number.

It is an unprimeable number.

221248 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665 + ... + 1792.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2²²¹²⁴⁸ is an apocalyptic number.

It is an amenable number.

221248 is a deficient number, since it is larger than the sum of its proper divisors (217918).

221248 is an equidigital number, since it uses as much as digits as its factorization.

221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3459 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 221248 is about 470.3700670749. The cubic root of 221248 is about 60.4820428003.

The spelling of 221248 in words is "two hundred twenty-one thousand, two hundred forty-eight".