The number 22488
22488 is a composite number with 16 divisors. Its prime factorisation is × 3 × 937. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 937, 1874, 2811, 3748, 5622, 7496, 11244, 22488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22488: a Harshad number: divisible by its digit sum 24.
- 2
22488 is composite. Its prime factorisation is
- 3
The divisors add up to 56280; without 22488 itself that is 33792, so 22488 is abundant (33792 is more than 22488). Euler's totient φ(22488) = 7488 numbers up to 22488 share no factor with it.
- 4
The digits of 22488 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22488 = 2^{3} \times 3 \times 937 \]22488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56280 |
| Euler totient φ(n) | 7488 |
| Square | 505710144 |
| Cube | 11372409718272 |
| Square root | 149.959995 (= 2√5622) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 61 |
| Scientific notation | 2.2488 × |
22488 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and eighty-eight |
| Binary (base 2) | 101011111011000 |
| Octal (base 8) | 53730 |
| Hexadecimal (base 16) | 57D8 |
| Base 3 | 1010211220 |
| As time | 22488 seconds = 6 h 14 min 48 s |
Is 22488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22488 ÷ 2 = 11244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22488 ÷ 3 = 7496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22488 ÷ 4 = 5622) | 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 (22488 ÷ 6 = 3748) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (22488 ÷ 8 = 2811) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (22488 ÷ 12 = 1874) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22488 a prime number?
No. 22488 = × 3 × 937, so it is divisible by 2.
What are the factors of 22488?
1, 2, 3, 4, 6, 8, 12, 24, 937, 1874, 2811, 3748, 5622, 7496, 11244, 22488.
What is 22488 in binary?
101011111011000 (hexadecimal 57D8, octal 53730).
What is the square root of 22488?
About 149.9600, exactly 2√5622.
Is 22488 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 22488?
22488 is a Harshad number: divisible by its digit sum 24.