Base | Representation |
---|---|
bin | 1010000000010110001000… |
… | …00100111010010110010110 |
3 | 2212220101022000121202122000 |
4 | 11000023010010322112112 |
5 | 10340440311200041042 |
6 | 114443344125020130 |
7 | 4430412564130650 |
oct | 500130404722626 |
9 | 85811260552560 |
10 | 22002112112022 |
11 | 7013052769949 |
12 | 25741a69b4646 |
13 | c37a372b6c23 |
14 | 560c9d42b6d0 |
15 | 2824d34be74c |
hex | 1402c413a596 |
22002112112022 has 128 divisors (see below), whose sum is σ = 55999535846400. Its totient is φ = 6272700092928.
The previous prime is 22002112112017. The next prime is 22002112112033. The reversal of 22002112112022 is 22021121120022.
It is a happy number.
22002112112022 is a `hidden beast` number, since 2 + 200 + 211 + 211 + 20 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22002112111986 and 22002112112004.
It is a congruent number.
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 63 ways as a sum of consecutive naturals, for example, 399596718 + ... + 399651774.
It is an arithmetic number, because the mean of its divisors is an integer number (437496373800).
Almost surely, 222002112112022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22002112112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27999767923200).
22002112112022 is an abundant number, since it is smaller than the sum of its proper divisors (33997423734378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22002112112022 is a wasteful number, since it uses less digits than its factorization.
22002112112022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57347 (or 57341 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22002112112022 its reverse (22021121120022), we get a palindrome (44023233232044).
The spelling of 22002112112022 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred twelve thousand, twenty-two".
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