The number 22425
22425 is a composite number with 24 divisors. Its prime factorisation is 3 × × 13 × 23. Divisors (24): 1, 3, 5, 13, 15, 23, 25, 39, 65, 69, 75, 115, 195, 299, 325, 345 … 22425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22425: a Harshad number: divisible by its digit sum 15.
- 2
22425 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 22425 itself that is 19239, so 22425 is deficient (19239 is less than 22425). Euler's totient φ(22425) = 10560 numbers up to 22425 share no factor with it.
- 4
The digits of 22425 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22425 = 3 \times 5^{2} \times 13 \times 23 \]22425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 10560 |
| Square | 502880625 |
| Cube | 11277098015625 |
| Square root | 149.749791 (= 5√897) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2425 × |
22425 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and twenty-five |
| Binary (base 2) | 101011110011001 |
| Octal (base 8) | 53631 |
| Hexadecimal (base 16) | 5799 |
| Base 3 | 1010202120 |
| As time | 22425 seconds = 6 h 13 min 45 s |
Is 22425 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22425 ÷ 3 = 7475) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (22425 ÷ 5 = 4485) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22425 a prime number?
No. 22425 = 3 × × 13 × 23, so it is divisible by 3.
What are the factors of 22425?
1, 3, 5, 13, 15, 23, 25, 39, 65, 69, 75, 115, 195, 299, 325, 345, 575, 897, 975, 1495, 1725, 4485, 7475, 22425.
What is 22425 in binary?
101011110011001 (hexadecimal 5799, octal 53631).
What is the square root of 22425?
About 149.7498, exactly 5√897.
Is 22425 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 22425?
22425 is a Harshad number: divisible by its digit sum 15.