22242222240 has 192 divisors, whose sum is σ = 82655354880. Its totient is φ = 4919915520.

The previous prime is 22242222199. The next prime is 22242222241. The reversal of 22242222240 is 4222224222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22242222240.

It is not an unprimeable number, because it can be changed into a prime (22242222241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610 + ... + 210929.

It is an arithmetic number, because the mean of its divisors is an integer number (430496640).

Almost surely, 2^22242222240 is an apocalyptic number.

22242222240 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 22242222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41327677440).

22242222240 is an abundant number, since it is smaller than the sum of its proper divisors (60413132640).

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

22242222240 is a wasteful number, since it uses less digits than its factorization.

22242222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213595 (or 213587 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22242222240 its reverse (4222224222), we get a palindrome (26464446462).

The spelling of 22242222240 in words is "twenty-two billion, two hundred forty-two million, two hundred twenty-two thousand, two hundred forty".