Base | Representation |
---|---|
bin | 101010001011… |
… | …1111010000000 |
3 | 1112121201012210 |
4 | 1110113322000 |
5 | 21130234031 |
6 | 2110022120 |
7 | 356000004 |
oct | 124277200 |
9 | 45551183 |
10 | 22118016 |
11 | 11537658 |
12 | 74a7940 |
13 | 47754ab |
14 | 2d1a704 |
15 | 1e1d746 |
hex | 1517e80 |
22118016 has 64 divisors (see below), whose sum is σ = 59241600. Its totient is φ = 7311360.
The previous prime is 22118011. The next prime is 22118021. The reversal of 22118016 is 61081122.
It is an interprime number because it is at equal distance from previous prime (22118011) and next prime (22118021).
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 22117983 and 22118001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22118011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91656 + ... + 91896.
It is an arithmetic number, because the mean of its divisors is an integer number (925650).
Almost surely, 222118016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29620800).
22118016 is an abundant number, since it is smaller than the sum of its proper divisors (37123584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22118016 is a wasteful number, since it uses less digits than its factorization.
22118016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 497 (or 485 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 21.
The square root of 22118016 is about 4702.9794811375. The cubic root of 22118016 is about 280.7040784047.
Adding to 22118016 its reverse (61081122), we get a palindrome (83199138).
The spelling of 22118016 in words is "twenty-two million, one hundred eighteen thousand, sixteen".
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