The number 80224
80224 is a composite number with 24 divisors. Its prime factorisation is × 23 × 109. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 92, 109, 184, 218, 368, 436, 736, 872 … 80224.
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How to work it out
- 1
What is special about 80224: a Harshad number: divisible by its digit sum 16.
- 2
80224 is composite. Its prime factorisation is
- 3
The divisors add up to 166320; without 80224 itself that is 86096, so 80224 is abundant (86096 is more than 80224). Euler's totient φ(80224) = 38016 numbers up to 80224 share no factor with it.
- 4
The digits of 80224 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80224 = 2^{5} \times 23 \times 109 \]80224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 166320 |
| Euler totient φ(n) | 38016 |
| Square | 6435890176 |
| Cube | 516312853479424 |
| Square root | 283.238415 (= 4√5014) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0224 × |
80224 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and twenty-four |
| Binary (base 2) | 10011100101100000 |
| Octal (base 8) | 234540 |
| Hexadecimal (base 16) | 13960 |
| Base 3 | 11002001021 |
| As time | 80224 seconds = 22 h 17 min 4 s |
Is 80224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80224 ÷ 2 = 40112) | 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 (80224 ÷ 4 = 20056) | 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 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 (80224 ÷ 8 = 10028) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 80224 a prime number?
No. 80224 = × 23 × 109, so it is divisible by 2.
What are the factors of 80224?
1, 2, 4, 8, 16, 23, 32, 46, 92, 109, 184, 218, 368, 436, 736, 872, 1744, 2507, 3488, 5014, 10028, 20056, 40112, 80224.
What is 80224 in binary?
10011100101100000 (hexadecimal 13960, octal 234540).
What is the square root of 80224?
About 283.2384, exactly 4√5014.
Is 80224 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80224?
80224 is a Harshad number: divisible by its digit sum 16.