22441360 has 80 divisors (see below), whose sum is σ = 57250800. Its totient is φ = 8142848.

The previous prime is 22441357. The next prime is 22441369. The reversal of 22441360 is 6314422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 200704 + 22240656 = 448^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22441360² = 1007229277299200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22441369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39156 + ... + 39724.

It is an arithmetic number, because the mean of its divisors is an integer number (715635).

Almost surely, 2^22441360 is an apocalyptic number.

22441360 is a gapful number since it is divisible by the number (20) 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 22441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625400).

22441360 is an abundant number, since it is smaller than the sum of its proper divisors (34809440).

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

22441360 is a wasteful number, since it uses less digits than its factorization.

22441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 22441360 is about 4737.2312588684. The cubic root of 22441360 is about 282.0653403913.

Adding to 22441360 its reverse (6314422), we get a palindrome (28755782).

It can be divided in two parts, 22441 and 360, that added together give a square (22801 = 151²).

The spelling of 22441360 in words is "twenty-two million, four hundred forty-one thousand, three hundred sixty".