22105900224306 has 192 divisors, whose sum is σ = 52016399285760. Its totient is φ = 6759371773440.

The previous prime is 22105900224301. The next prime is 22105900224337. The reversal of 22105900224306 is 60342200950122.

22105900224306 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 590 + 0 + 22 + 43 + 0 + 6 = 666.

It is a super-2 number, since 2×22105900224306² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22105900224301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884394461 + ... + 1884406191.

It is an arithmetic number, because the mean of its divisors is an integer number (270918746280).

Almost surely, 2^{22105900224306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22105900224306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26008199642880).

22105900224306 is an abundant number, since it is smaller than the sum of its proper divisors (29910499061454).

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

22105900224306 is a wasteful number, since it uses less digits than its factorization.

22105900224306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22105900224306 in words is "twenty-two trillion, one hundred five billion, nine hundred million, two hundred twenty-four thousand, three hundred six".