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2222112200022 = 23211132364758013
BaseRepresentation
bin100000010101100000001…
…101010101010101010110
321212102122211010200102200
4200111200031111111112
5242401341210400042
64420454012145330
7316354004024361
oct40254015252526
97772584120380
102222112200022
11787435452160
122ba7b0a68246
1313170ca2b070
147979d59b0d8
153cc07844c4c
hex20560355556

2222112200022 has 192 divisors, whose sum is σ = 5911435385856. Its totient is φ = 593615911680.

The previous prime is 2222112199997. The next prime is 2222112200029. The reversal of 2222112200022 is 2200022112222.

It is a super-2 number, since 2×22221122000222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2222112199968 and 2222112200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222112200029) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 38274688 + ... + 38332700.

It is an arithmetic number, because the mean of its divisors is an integer number (30788725968).

Almost surely, 22222112200022 is an apocalyptic number.

2222112200022 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 2222112200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955717692928).

2222112200022 is an abundant number, since it is smaller than the sum of its proper divisors (3689323185834).

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

2222112200022 is a wasteful number, since it uses less digits than its factorization.

2222112200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58715 (or 58712 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2222112200022 its reverse (2200022112222), we get a palindrome (4422134312244).

The spelling of 2222112200022 in words is "two trillion, two hundred twenty-two billion, one hundred twelve million, two hundred thousand, twenty-two".