What are the numbers divisible by 2022?

2022, 4044, 6066, 8088, 10110, 12132, 14154, 16176, 18198, 20220, 22242, 24264, 26286, 28308, 30330, 32352, 34374, 36396, 38418, 40440, 42462, 44484, 46506, 48528, 50550, 52572, 54594, 56616, 58638, 60660, 62682, 64704, 66726, 68748, 70770, 72792, 74814, 76836, 78858, 80880, 82902, 84924, 86946, 88968, 90990, 93012, 95034, 97056, 99078

There is a total of 49 numbers (up to 100000) that are divisible by 2022.
The sum of these numbers is 2476950.
The arithmetic mean of these numbers is 50550.

How to find the numbers divisible by 2022?

Finding all the numbers that can be divided by 2022 is essentially the same as searching for the multiples of 2022: if a number N is a multiple of 2022, then 2022 is a divisor of N.

Indeed, if we assume that N is a multiple of 2022, this means there exists an integer k such that:

$k \times 2022 = N$

Conversely, the result of N divided by 2022 is this same integer k (without any remainder):

$k = \frac{N}{2022}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2022 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 2022 less than 100000):

1 × 2022 = 2022
2 × 2022 = 4044
3 × 2022 = 6066
...
48 × 2022 = 97056
49 × 2022 = 99078