Base | Representation |
---|---|
bin | 1000001111011011… |
… | …1101010010101010 |
3 | 12201011200112020200 |
4 | 2003312331102222 |
5 | 14012312101442 |
6 | 1003303333030 |
7 | 105551402115 |
oct | 20366752252 |
9 | 5634615220 |
10 | 2212222122 |
11 | a35818250 |
12 | 518a51176 |
13 | 293420796 |
14 | 16db3d57c |
15 | ce33334c |
hex | 83dbd4aa |
2212222122 has 48 divisors (see below), whose sum is σ = 5233718880. Its totient is φ = 669751200.
The previous prime is 2212222097. The next prime is 2212222123.
2212222122 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 = 2212222095 and 2212222104.
It is not an unprimeable number, because it can be changed into a prime (2212222123) 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 23 ways as a sum of consecutive naturals, for example, 238797 + ... + 247887.
It is an arithmetic number, because the mean of its divisors is an integer number (109035810).
Almost surely, 22212222122 is an apocalyptic number.
2212222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2212222122 is an abundant number, since it is smaller than the sum of its proper divisors (3021496758).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212222122 is a wasteful number, since it uses less digits than its factorization.
2212222122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10339 (or 10336 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 2212222122 is about 47034.2654030017. The cubic root of 2212222122 is about 1302.9954833789.
It can be divided in two parts, 22122 and 22122, that added together give a palindrome (44244).
The spelling of 2212222122 in words is "two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty-two".
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