The number 88220
88220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 401. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 401, 802, 1604, 2005 … 88220.
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How to work it out
- 1
What is special about 88220: a Harshad number: divisible by its digit sum 20.
- 2
88220 is composite. Its prime factorisation is
- 3
The divisors add up to 202608; without 88220 itself that is 114388, so 88220 is abundant (114388 is more than 88220). Euler's totient φ(88220) = 32000 numbers up to 88220 share no factor with it.
- 4
The digits of 88220 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88220 = 2^{2} \times 5 \times 11 \times 401 \]88220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 202608 |
| Euler totient φ(n) | 32000 |
| Square | 7782768400 |
| Cube | 686595828248000 |
| Square root | 297.018518 (= 2√22055) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.822 × |
88220 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand two hundred and twenty |
| Binary (base 2) | 10101100010011100 |
| Octal (base 8) | 254234 |
| Hexadecimal (base 16) | 1589C |
| Base 3 | 11111000102 |
| As time | 88220 seconds = 24 h 30 min 20 s |
Is 88220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88220 ÷ 2 = 44110) | 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 (88220 ÷ 4 = 22055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88220 ÷ 5 = 17644) | 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 | No (remainder 4) | 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 | Yes (88220 ÷ 10 = 8822) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88220 ÷ 11 = 8020) | 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 88220 a prime number?
No. 88220 = × 5 × 11 × 401, so it is divisible by 2.
What are the factors of 88220?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 401, 802, 1604, 2005, 4010, 4411, 8020, 8822, 17644, 22055, 44110, 88220.
What is 88220 in binary?
10101100010011100 (hexadecimal 1589C, octal 254234).
What is the square root of 88220?
About 297.0185, exactly 2√22055.
Is 88220 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88220?
88220 is a Harshad number: divisible by its digit sum 20.