221924 has 12 divisors (see below), whose sum is σ = 392700. Its totient is φ = 109728.

The previous prime is 221909. The next prime is 221941. The reversal of 221924 is 429122.

221924 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 168100 + 53824 = 410^2 + 232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221896 and 221905.

It is an unprimeable number.

221924 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (32725).

2²²¹⁹²⁴ is an apocalyptic number.

It is an amenable number.

221924 is a deficient number, since it is larger than the sum of its proper divisors (170776).

221924 is a wasteful number, since it uses less digits than its factorization.

221924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 221924 is about 471.0881021635. The cubic root of 221924 is about 60.5435790110.

The spelling of 221924 in words is "two hundred twenty-one thousand, nine hundred twenty-four".