221892 has 36 divisors (see below), whose sum is σ = 578928. Its totient is φ = 65600.

The previous prime is 221891. The next prime is 221909. The reversal of 221892 is 298122.

It is not an unprimeable number, because it can be changed into a prime (221891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5392 + ... + 5432.

2²²¹⁸⁹² is an apocalyptic number.

221892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289464).

221892 is an abundant number, since it is smaller than the sum of its proper divisors (357036).

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

221892 is a wasteful number, since it uses less digits than its factorization.

221892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 221892 is about 471.0541370161. The cubic root of 221892 is about 60.5406688741.

The spelling of 221892 in words is "two hundred twenty-one thousand, eight hundred ninety-two".