The number 22448
22448 is a composite number with 20 divisors. Its prime factorisation is × 23 × 61. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 61, 92, 122, 184, 244, 368, 488, 976, 1403 … 22448.
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How to work it out
- 1
22448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22448 is composite. Its prime factorisation is
- 3
The divisors add up to 46128; without 22448 itself that is 23680, so 22448 is abundant (23680 is more than 22448). Euler's totient φ(22448) = 10560 numbers up to 22448 share no factor with it.
- 4
The digits of 22448 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22448 = 2^{4} \times 23 \times 61 \]22448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 46128 |
| Euler totient φ(n) | 10560 |
| Square | 503912704 |
| Cube | 11311832379392 |
| Square root | 149.826566 (= 4√1403) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2448 × |
22448 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and forty-eight |
| Binary (base 2) | 101011110110000 |
| Octal (base 8) | 53660 |
| Hexadecimal (base 16) | 57B0 |
| Base 3 | 1010210102 |
| As time | 22448 seconds = 6 h 14 min 8 s |
Is 22448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22448 ÷ 2 = 11224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22448 ÷ 4 = 5612) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (22448 ÷ 8 = 2806) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22448 a prime number?
No. 22448 = × 23 × 61, so it is divisible by 2.
What are the factors of 22448?
1, 2, 4, 8, 16, 23, 46, 61, 92, 122, 184, 244, 368, 488, 976, 1403, 2806, 5612, 11224, 22448.
What is 22448 in binary?
101011110110000 (hexadecimal 57B0, octal 53660).
What is the square root of 22448?
About 149.8266, exactly 4√1403.
Is 22448 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 22448?
It is a composite number with 20 divisors.