Base | Representation |
---|---|
bin | 10100100110100101… |
… | …100101001000101010 |
3 | 2010002201212022201002 |
4 | 110212211211020222 |
5 | 330301242101442 |
6 | 14055055555002 |
7 | 1412131533260 |
oct | 244645451052 |
9 | 63081768632 |
10 | 22122222122 |
11 | 9422465a00 |
12 | 435482ba62 |
13 | 2117276480 |
14 | 10dc0b8430 |
15 | 897222732 |
hex | 52696522a |
22122222122 has 48 divisors (see below), whose sum is σ = 44891419776. Its totient is φ = 7956036000.
The previous prime is 22122222071. The next prime is 22122222131.
22122222122 is nontrivially palindromic in base 10.
22122222122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 22122222094 and 22122222103.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480254 + ... + 524297.
It is an arithmetic number, because the mean of its divisors is an integer number (935237912).
Almost surely, 222122222122 is an apocalyptic number.
22122222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22122222122 is an abundant number, since it is smaller than the sum of its proper divisors (22769197654).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122222122 is a wasteful number, since it uses less digits than its factorization.
22122222122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1004595 (or 1004584 counting only the distinct ones).
The product of its digits is 512, while the sum is 20.
The spelling of 22122222122 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".
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