Base | Representation |
---|---|
bin | 1010000011110110000011… |
… | …10100011011101110001010 |
3 | 2220022212121110001000100010 |
4 | 11001323001310123232022 |
5 | 10344423014312301442 |
6 | 115014505402452350 |
7 | 4442200020426525 |
oct | 501730164335612 |
9 | 86285543030303 |
10 | 22122333322122 |
11 | 705a035483430 |
12 | 25935588040b6 |
13 | c46186273737 |
14 | 566a25cb7bbc |
15 | 2856bcabdb9c |
hex | 141ec1d1bb8a |
22122333322122 has 64 divisors (see below), whose sum is σ = 49059500169600. Its totient is φ = 6593661235200.
The previous prime is 22122333322121. The next prime is 22122333322211.
It is a happy number.
22122333322122 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22122333322122.
It is not an unprimeable number, because it can be changed into a prime (22122333322121) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269898298 + ... + 269980250.
It is an arithmetic number, because the mean of its divisors is an integer number (766554690150).
Almost surely, 222122333322122 is an apocalyptic number.
22122333322122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22122333322122 is an abundant number, since it is smaller than the sum of its proper divisors (26937166847478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122333322122 is a wasteful number, since it uses less digits than its factorization.
22122333322122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149079.
The product of its digits is 20736, while the sum is 30.
It can be divided in two parts, 2212233 and 3322122, that added together give a palindrome (5534355).
The spelling of 22122333322122 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred twenty-two".
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