The number 22248
22248 is a composite number with 32 divisors. Its prime factorisation is × × 103. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 103, 108 … 22248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22248: a Harshad number: divisible by its digit sum 18.
- 2
22248 is composite. Its prime factorisation is
- 3
The divisors add up to 62400; without 22248 itself that is 40152, so 22248 is abundant (40152 is more than 22248). Euler's totient φ(22248) = 7344 numbers up to 22248 share no factor with it.
- 4
The digits of 22248 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22248 = 2^{3} \times 3^{3} \times 103 \]22248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 62400 |
| Euler totient φ(n) | 7344 |
| Square | 494973504 |
| Cube | 11012170516992 |
| Square root | 149.157635 (= 6√618) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2248 × |
22248 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and forty-eight |
| Binary (base 2) | 101011011101000 |
| Octal (base 8) | 53350 |
| Hexadecimal (base 16) | 56E8 |
| Base 3 | 1010112000 |
| As time | 22248 seconds = 6 h 10 min 48 s |
Is 22248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22248 ÷ 2 = 11124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22248 ÷ 3 = 7416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22248 ÷ 4 = 5562) | 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 (22248 ÷ 6 = 3708) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (22248 ÷ 8 = 2781) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22248 ÷ 9 = 2472) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (22248 ÷ 12 = 1854) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22248 a prime number?
No. 22248 = × × 103, so it is divisible by 2.
What are the factors of 22248?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 103, 108, 206, 216, 309, 412, 618, 824, 927, 1236, 1854, 2472, 2781, 3708, 5562, 7416, 11124, 22248.
What is 22248 in binary?
101011011101000 (hexadecimal 56E8, octal 53350).
What is the square root of 22248?
About 149.1576, exactly 6√618.
Is 22248 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 22248?
22248 is a Harshad number: divisible by its digit sum 18.