Base | Representation |
---|---|
bin | 101010001100… |
… | …1000011011100 |
3 | 1112121221122212 |
4 | 1110121003130 |
5 | 21130411331 |
6 | 2110055552 |
7 | 356016500 |
oct | 124310334 |
9 | 45557585 |
10 | 22122716 |
11 | 11540140 |
12 | 74aa5b8 |
13 | 4777685 |
14 | 2d1c300 |
15 | 1e1ed2b |
hex | 15190dc |
22122716 has 72 divisors (see below), whose sum is σ = 50867712. Its totient is φ = 8316000.
The previous prime is 22122703. The next prime is 22122719. The reversal of 22122716 is 61722122.
22122716 = T176 + T177 + ... + T516.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 22122691 and 22122700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22122719) 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 23 ways as a sum of consecutive naturals, for example, 66671 + ... + 67001.
It is an arithmetic number, because the mean of its divisors is an integer number (706496).
Almost surely, 222122716 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 22122716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433856).
22122716 is an abundant number, since it is smaller than the sum of its proper divisors (28744996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122716 is a wasteful number, since it uses less digits than its factorization.
22122716 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 391 (or 382 counting only the distinct ones).
The product of its digits is 672, while the sum is 23.
The square root of 22122716 is about 4703.4791378298. The cubic root of 22122716 is about 280.7239598704.
Adding to 22122716 its reverse (61722122), we get a palindrome (83844838).
The spelling of 22122716 in words is "twenty-two million, one hundred twenty-two thousand, seven hundred sixteen".
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