221952 has 54 divisors (see below), whose sum is σ = 627508. Its totient is φ = 69632.

The previous prime is 221951. The next prime is 221953. The reversal of 221952 is 259122.

It is an interprime number because it is at equal distance from previous prime (221951) and next prime (221953).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (221951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13048 + ... + 13064.

2²²¹⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313754).

221952 is an abundant number, since it is smaller than the sum of its proper divisors (405556).

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

221952 is an equidigital number, since it uses as much as digits as its factorization.

221952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 221952 is about 471.1178196587. The cubic root of 221952 is about 60.5461251513.

The spelling of 221952 in words is "two hundred twenty-one thousand, nine hundred fifty-two".