Base | Representation |
---|---|
bin | 1010000110011111001001… |
… | …00110010010110001010110 |
3 | 2220122112220220111111221220 |
4 | 11003033210212102301112 |
5 | 10402414422422144342 |
6 | 115124321250151210 |
7 | 4451562413164224 |
oct | 503174446226126 |
9 | 86575826444856 |
10 | 22213111131222 |
11 | 7094589158a60 |
12 | 25a9071b82506 |
13 | c518c227918b |
14 | 56b198205b14 |
15 | 287c3238c5ec |
hex | 1433e4992c56 |
22213111131222 has 32 divisors (see below), whose sum is σ = 48658057305984. Its totient is φ = 6704428080000.
The previous prime is 22213111131217. The next prime is 22213111131223.
22213111131222 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×222131111312223 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 22213111131192 and 22213111131201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22213111131223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670426243 + ... + 670459374.
It is an arithmetic number, because the mean of its divisors is an integer number (1520564290812).
Almost surely, 222213111131222 is an apocalyptic number.
22213111131222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22213111131222 is an abundant number, since it is smaller than the sum of its proper divisors (26444946174762).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22213111131222 is a wasteful number, since it uses less digits than its factorization.
22213111131222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1340885884.
The product of its digits is 576, while the sum is 24.
It can be divided in two parts, 2221311 and 1131222, that added together give a palindrome (3352533).
The spelling of 22213111131222 in words is "twenty-two trillion, two hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, two hundred twenty-two".
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