211232 has 48 divisors (see below), whose sum is σ = 508032. Its totient is φ = 84480.

The previous prime is 211231. The next prime is 211241. The reversal of 211232 is 232112.

It is a happy number.

211232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231) 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 7 ways as a sum of consecutive naturals, for example, 5132 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2²¹¹²³² 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 211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

211232 is an abundant number, since it is smaller than the sum of its proper divisors (296800).

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

211232 is a wasteful number, since it uses less digits than its factorization.

211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 211232 is about 459.5998259356. The cubic root of 211232 is about 59.5552296542. Note that the first 3 decimals are identical.

Adding to 211232 its reverse (232112), we get a palindrome (443344).

The spelling of 211232 in words is "two hundred eleven thousand, two hundred thirty-two".