221132832 has 48 divisors (see below), whose sum is σ = 593984160. Its totient is φ = 71995392.

The previous prime is 221132783. The next prime is 221132839. The reversal of 221132832 is 238231122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (221132839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22657 + ... + 30912.

It is an arithmetic number, because the mean of its divisors is an integer number (12374670).

Almost surely, 2^221132832 is an apocalyptic number.

It is an amenable number.

221132832 is an abundant number, since it is smaller than the sum of its proper divisors (372851328).

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

221132832 is a wasteful number, since it uses less digits than its factorization.

221132832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53625 (or 53617 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 221132832 is about 14870.5356998327. The cubic root of 221132832 is about 604.7154657752.

Adding to 221132832 its reverse (238231122), we get a palindrome (459363954).

The spelling of 221132832 in words is "two hundred twenty-one million, one hundred thirty-two thousand, eight hundred thirty-two".