22224330440 has 128 divisors (see below), whose sum is σ = 55309655520. Its totient is φ = 7984742400.

The previous prime is 22224330431. The next prime is 22224330463. The reversal of 22224330440 is 4403342222.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 221354884 + 22002975556 = 14878^2 + 148334^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9742100 + ... + 9744380.

Almost surely, 2^22224330440 is an apocalyptic number.

22224330440 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 22224330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27654827760).

22224330440 is an abundant number, since it is smaller than the sum of its proper divisors (33085325080).

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

22224330440 is a wasteful number, since it uses less digits than its factorization.

22224330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 22224330440 its reverse (4403342222), we get a palindrome (26627672662).

The spelling of 22224330440 in words is "twenty-two billion, two hundred twenty-four million, three hundred thirty thousand, four hundred forty".