22224111140 has 288 divisors, whose sum is σ = 63868089600. Its totient is φ = 6333465600.

The previous prime is 22224111139. The next prime is 22224111179. The reversal of 22224111140 is 4111142222.

It is a super-3 number, since 3×22224111140³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9332750 + ... + 9335130.

It is an arithmetic number, because the mean of its divisors is an integer number (221764200).

Almost surely, 2^22224111140 is an apocalyptic number.

22224111140 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 22224111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31934044800).

22224111140 is an abundant number, since it is smaller than the sum of its proper divisors (41643978460).

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

22224111140 is a wasteful number, since it uses less digits than its factorization.

22224111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22224111140 its reverse (4111142222), we get a palindrome (26335253362).

The spelling of 22224111140 in words is "twenty-two billion, two hundred twenty-four million, one hundred eleven thousand, one hundred forty".