The number 2224
2224 is a composite number with 10 divisors. Its prime factorisation is × 139. Divisors (10): 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2224: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2224 is composite. Its prime factorisation is
- 3
The divisors add up to 4340; without 2224 itself that is 2116, so 2224 is deficient (2116 is less than 2224). Euler's totient φ(2224) = 1104 numbers up to 2224 share no factor with it.
- 4
The digits of 2224 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2224 = 2^{4} \times 139 \]2224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 4340 |
| Euler totient φ(n) | 1104 |
| Square | 4946176 |
| Cube | 11000295424 |
| Square root | 47.159304 (= 4√139) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.224 × |
2224 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and twenty-four |
| Roman numerals | MMCCXXIV |
| Binary (base 2) | 100010110000 |
| Octal (base 8) | 4260 |
| Hexadecimal (base 16) | 8B0 |
| Base 3 | 10001101 |
| As time | 2224 seconds = 37 min 4 s |
Is 2224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2224 ÷ 2 = 1112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2224 ÷ 4 = 556) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (2224 ÷ 8 = 278) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2224 a prime number?
No. 2224 = × 139, so it is divisible by 2.
What are the factors of 2224?
1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224.
What is 2224 in binary?
100010110000 (hexadecimal 8B0, octal 4260).
What is the square root of 2224?
About 47.1593, exactly 4√139.
What is 2224 in Roman numerals?
MMCCXXIV.
Is 2224 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2224?
2224 is a happy number: repeatedly adding the squares of its digits reaches 1.