The number 22338
22338 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 73. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 73, 102, 146, 153, 219, 306, 438 … 22338.
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How to work it out
- 1
What is special about 22338: a Harshad number: divisible by its digit sum 18.
- 2
22338 is composite. Its prime factorisation is
- 3
The divisors add up to 51948; without 22338 itself that is 29610, so 22338 is abundant (29610 is more than 22338). Euler's totient φ(22338) = 6912 numbers up to 22338 share no factor with it.
- 4
The digits of 22338 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22338 = 2 \times 3^{2} \times 17 \times 73 \]22338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 51948 |
| Euler totient φ(n) | 6912 |
| Square | 498986244 |
| Cube | 11146354718472 |
| Square root | 149.459024 (= 3√2482) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2338 × |
22338 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand three hundred and thirty-eight |
| Binary (base 2) | 101011101000010 |
| Octal (base 8) | 53502 |
| Hexadecimal (base 16) | 5742 |
| Base 3 | 1010122100 |
| As time | 22338 seconds = 6 h 12 min 18 s |
Is 22338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22338 ÷ 2 = 11169) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22338 ÷ 3 = 7446) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (22338 ÷ 6 = 3723) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22338 ÷ 9 = 2482) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22338 a prime number?
No. 22338 = 2 × × 17 × 73, so it is divisible by 2.
What are the factors of 22338?
1, 2, 3, 6, 9, 17, 18, 34, 51, 73, 102, 146, 153, 219, 306, 438, 657, 1241, 1314, 2482, 3723, 7446, 11169, 22338.
What is 22338 in binary?
101011101000010 (hexadecimal 5742, octal 53502).
What is the square root of 22338?
About 149.4590, exactly 3√2482.
Is 22338 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 22338?
22338 is a Harshad number: divisible by its digit sum 18.