221948 has 6 divisors (see below), whose sum is σ = 388416. Its totient is φ = 110972.

The previous prime is 221941. The next prime is 221951. The reversal of 221948 is 849122.

221948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221941) by changing a digit.

221948 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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27740 + ... + 27747.

It is an arithmetic number, because the mean of its divisors is an integer number (64736).

2²²¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

221948 is a deficient number, since it is larger than the sum of its proper divisors (166468).

221948 is a wasteful number, since it uses less digits than its factorization.

221948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55491 (or 55489 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 221948 is about 471.1135744170. The cubic root of 221948 is about 60.5457614301.

The spelling of 221948 in words is "two hundred twenty-one thousand, nine hundred forty-eight".