22271827204242 has 224 divisors, whose sum is σ = 63327822050304. Its totient is φ = 5703410815200.

The previous prime is 22271827204213. The next prime is 22271827204261. The reversal of 22271827204242 is 24240272817222.

22271827204242 is a `hidden beast` number, since 2 + 2 + 27 + 182 + 7 + 20 + 424 + 2 = 666.

It is a super-2 number, since 2×22271827204242² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6573813 + ... + 9367959.

It is an arithmetic number, because the mean of its divisors is an integer number (282713491296).

Almost surely, 2^{22271827204242} is an apocalyptic number.

22271827204242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22271827204242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31663911025152).

22271827204242 is an abundant number, since it is smaller than the sum of its proper divisors (41055994846062).

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

22271827204242 is a wasteful number, since it uses less digits than its factorization.

22271827204242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794256 (or 2794241 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 22271827204242 in words is "twenty-two trillion, two hundred seventy-one billion, eight hundred twenty-seven million, two hundred four thousand, two hundred forty-two".