Base | Representation |
---|---|
bin | 100011001011… |
… | …101001110000 |
3 | 122100120021000 |
4 | 203023221300 |
5 | 4330112033 |
6 | 525402000 |
7 | 141251352 |
oct | 43135160 |
9 | 18316230 |
10 | 9222768 |
11 | 522a225 |
12 | 3109300 |
13 | 1babb79 |
14 | 13210d2 |
15 | c22a13 |
hex | 8cba70 |
9222768 has 80 divisors (see below), whose sum is σ = 27235360. Its totient is φ = 2985984.
The previous prime is 9222767. The next prime is 9222781. The reversal of 9222768 is 8672229.
9222768 is nontrivially palindromic in base 11.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a d-powerful number, because it can be written as 93 + 211 + 222 + 222 + 77 + 65 + 82 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9222767) 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 15 ways as a sum of consecutive naturals, for example, 15696 + ... + 16272.
It is an arithmetic number, because the mean of its divisors is an integer number (340442).
Almost surely, 29222768 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 9222768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617680).
9222768 is an abundant number, since it is smaller than the sum of its proper divisors (18012592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9222768 is a wasteful number, since it uses less digits than its factorization.
9222768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 631 (or 619 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 9222768 is about 3036.9010520595. The cubic root of 9222768 is about 209.7106218307.
The spelling of 9222768 in words is "nine million, two hundred twenty-two thousand, seven hundred sixty-eight".
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