221001344 has 48 divisors (see below), whose sum is σ = 456203670. Its totient is φ = 106638336.

The previous prime is 221001337. The next prime is 221001349. The reversal of 221001344 is 443100122.

It can be written as a sum of positive squares in 3 ways, for example, as 193543744 + 27457600 = 13912^2 + 5240^2 .

It is not an unprimeable number, because it can be changed into a prime (221001349) 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 5 ways as a sum of consecutive naturals, for example, 106622 + ... + 108674.

Almost surely, 2^221001344 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 221001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228101835).

221001344 is an abundant number, since it is smaller than the sum of its proper divisors (235202326).

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

221001344 is an equidigital number, since it uses as much as digits as its factorization.

221001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 221001344 is about 14866.1139508615. The cubic root of 221001344 is about 604.5955852018.

Adding to 221001344 its reverse (443100122), we get a palindrome (664101466).

The spelling of 221001344 in words is "two hundred twenty-one million, one thousand, three hundred forty-four".