221444132 has 72 divisors (see below), whose sum is σ = 488864376. Its totient is φ = 86994432.

The previous prime is 221444131. The next prime is 221444137. The reversal of 221444132 is 231444122.

221444132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 220641316 = 896^2 + 14854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221444098 and 221444107.

It is not an unprimeable number, because it can be changed into a prime (221444131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593498 + ... + 593870.

It is an arithmetic number, because the mean of its divisors is an integer number (6789783).

Almost surely, 2^221444132 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 221444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244432188).

221444132 is an abundant number, since it is smaller than the sum of its proper divisors (267420244).

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

221444132 is a wasteful number, since it uses less digits than its factorization.

221444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 221444132 is about 14880.9990256031. Note that the first 3 decimals coincide. The cubic root of 221444132 is about 604.9990956888. Note that the first 3 decimals are identical.

Adding to 221444132 its reverse (231444122), we get a palindrome (452888254).

The spelling of 221444132 in words is "two hundred twenty-one million, four hundred forty-four thousand, one hundred thirty-two".