Base | Representation |
---|---|
bin | 1010000110110000000110… |
… | …00000011000101011001110 |
3 | 2220200102102002221001000022 |
4 | 11003120003000120223032 |
5 | 10403042042033102342 |
6 | 115132424244502142 |
7 | 4452334052526614 |
oct | 503300300305316 |
9 | 86612362831008 |
10 | 22222211222222 |
11 | 70984289a3020 |
12 | 25aa9916aa952 |
13 | c527126a24cb |
14 | 56b7bca336b4 |
15 | 2880b623a9d2 |
hex | 143603018ace |
22222211222222 has 32 divisors (see below), whose sum is σ = 36461342268000. Its totient is φ = 10073865625600.
The previous prime is 22222211222221. The next prime is 22222211222231.
22222211222222 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 22222211222191 and 22222211222200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22222211222221) 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 15 ways as a sum of consecutive naturals, for example, 75583022 + ... + 75876462.
It is an arithmetic number, because the mean of its divisors is an integer number (1139416945875).
Almost surely, 222222211222222 is an apocalyptic number.
22222211222222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22222211222222 is a deficient number, since it is larger than the sum of its proper divisors (14239131045778).
22222211222222 is a wasteful number, since it uses less digits than its factorization.
22222211222222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 302692.
The product of its digits is 4096, while the sum is 26.
It can be divided in two parts, 2222221 and 1222222, that added together give a palindrome (3444443).
The spelling of 22222211222222 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred twenty-two".
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