22011304224 has 192 divisors, whose sum is σ = 74856821760. Its totient is φ = 5499601920.

The previous prime is 22011304219. The next prime is 22011304253. The reversal of 22011304224 is 42240311022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22011304224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99679 + ... + 232289.

It is an arithmetic number, because the mean of its divisors is an integer number (389879280).

Almost surely, 2^22011304224 is an apocalyptic number.

22011304224 is a gapful number since it is divisible by the number (24) 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 22011304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37428410880).

22011304224 is an abundant number, since it is smaller than the sum of its proper divisors (52845517536).

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

22011304224 is a wasteful number, since it uses less digits than its factorization.

22011304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132663 (or 132655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22011304224 its reverse (42240311022), we get a palindrome (64251615246).

The spelling of 22011304224 in words is "twenty-two billion, eleven million, three hundred four thousand, two hundred twenty-four".