221132032 has 72 divisors (see below), whose sum is σ = 506993760. Its totient is φ = 95201280.

The previous prime is 221132029. The next prime is 221132033. The reversal of 221132032 is 230231122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221131997 and 221132015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221132033) 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, 51438 + ... + 55570.

It is an arithmetic number, because the mean of its divisors is an integer number (7041580).

Almost surely, 2^221132032 is an apocalyptic number.

221132032 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 221132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253496880).

221132032 is an abundant number, since it is smaller than the sum of its proper divisors (285861728).

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

221132032 is a wasteful number, since it uses less digits than its factorization.

221132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 221132032 is about 14870.5088009792. The cubic root of 221132032 is about 604.7147365409.

Adding to 221132032 its reverse (230231122), we get a palindrome (451363154).

It can be divided in two parts, 2211 and 32032, that added together give a palindrome (34243).

The spelling of 221132032 in words is "two hundred twenty-one million, one hundred thirty-two thousand, thirty-two".