221232 has 40 divisors (see below), whose sum is σ = 624960. Its totient is φ = 66880.

The previous prime is 221227. The next prime is 221233. The reversal of 221232 is 232122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (221233) by changing a digit.

221232 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 7 ways as a sum of consecutive naturals, for example, 319 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²²¹²³² is an apocalyptic number.

221232 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 221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

221232 is an abundant number, since it is smaller than the sum of its proper divisors (403728).

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

221232 is a wasteful number, since it uses less digits than its factorization.

221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 221232 is about 470.3530588824. The cubic root of 221232 is about 60.4805848044.

Multiplying 221232 by its product of digits (48), we get a triangular number (10619136 = T₄₆₀₈).

Adding to 221232 its reverse (232122), we get a palindrome (453354).

The spelling of 221232 in words is "two hundred twenty-one thousand, two hundred thirty-two".