22013222302240 has 192 divisors, whose sum is σ = 56157908083200. Its totient is φ = 8106046341120.

The previous prime is 22013222302217. The next prime is 22013222302259. The reversal of 22013222302240 is 4220322231022.

It is a super-2 number, since 2×22013222302240² (a number of 27 digits) contains 22 as substring.

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, 1284534952 + ... + 1284552088.

It is an arithmetic number, because the mean of its divisors is an integer number (292489104600).

Almost surely, 2^{22013222302240} is an apocalyptic number.

22013222302240 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 22013222302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28078954041600).

22013222302240 is an abundant number, since it is smaller than the sum of its proper divisors (34144685780960).

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

22013222302240 is a wasteful number, since it uses less digits than its factorization.

22013222302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18787 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22013222302240 its reverse (4220322231022), we get a palindrome (26233544533262).

The spelling of 22013222302240 in words is "twenty-two trillion, thirteen billion, two hundred twenty-two million, three hundred two thousand, two hundred forty".