Base | Representation |
---|---|
bin | 1010001100101000100010… |
… | …00111001010010101010110 |
3 | 2221101202001210221212211100 |
4 | 11012110101013022111112 |
5 | 10414344442200424142 |
6 | 115405330355450530 |
7 | 4503050224311213 |
oct | 506242107122526 |
9 | 87352053855740 |
10 | 22424311342422 |
11 | 7166108174650 |
12 | 2621b945b6a46 |
13 | c687acb22152 |
14 | 5774b19d2b0a |
15 | 28d493c4cb4c |
hex | 1465111ca556 |
22424311342422 has 96 divisors (see below), whose sum is σ = 53813018113920. Its totient is φ = 6691458533760.
The previous prime is 22424311342417. The next prime is 22424311342429.
22424311342422 is a `hidden beast` number, since 2 + 2 + 42 + 43 + 113 + 42 + 422 = 666.
22424311342422 is nontrivially palindromic in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22424311342429) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37417954 + ... + 38012522.
It is an arithmetic number, because the mean of its divisors is an integer number (560552272020).
Almost surely, 222424311342422 is an apocalyptic number.
22424311342422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22424311342422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26906509056960).
22424311342422 is an abundant number, since it is smaller than the sum of its proper divisors (31388706771498).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22424311342422 is a wasteful number, since it uses less digits than its factorization.
22424311342422 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 597498 (or 597495 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
It can be divided in two parts, 2242431 and 1342422, that added together give a palindrome (3584853).
The spelling of 22424311342422 in words is "twenty-two trillion, four hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, four hundred twenty-two".
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