221832 has 64 divisors (see below), whose sum is σ = 672000. Its totient is φ = 67392.

The previous prime is 221831. The next prime is 221849. The reversal of 221832 is 238122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221832.

It is not an unprimeable number, because it can be changed into a prime (221831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2769 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2²²¹⁸³² 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 221832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336000).

221832 is an abundant number, since it is smaller than the sum of its proper divisors (450168).

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

221832 is a wasteful number, since it uses less digits than its factorization.

221832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 221832 is about 470.9904457630. The cubic root of 221832 is about 60.5352116132.

Adding to 221832 its reverse (238122), we get a palindrome (459954).

Subtracting 221832 from its reverse (238122), we obtain a triangular number (16290 = T₁₈₀).

It can be divided in two parts, 22 and 1832, that multiplied together give a palindrome (40304).

The spelling of 221832 in words is "two hundred twenty-one thousand, eight hundred thirty-two".