The number 2220
2220 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 37. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148 … 2220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2220: a Harshad number: divisible by its digit sum 6.
- 2
2220 is composite. Its prime factorisation is
- 3
The divisors add up to 6384; without 2220 itself that is 4164, so 2220 is abundant (4164 is more than 2220). Euler's totient φ(2220) = 576 numbers up to 2220 share no factor with it.
- 4
The digits of 2220 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2220 = 2^{2} \times 3 \times 5 \times 37 \]2220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6384 |
| Euler totient φ(n) | 576 |
| Square | 4928400 |
| Cube | 10941048000 |
| Square root | 47.116876 (= 2√555) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.22 × |
2220 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and twenty |
| Roman numerals | MMCCXX |
| Binary (base 2) | 100010101100 |
| Octal (base 8) | 4254 |
| Hexadecimal (base 16) | 8AC |
| Base 3 | 10001020 |
| As time | 2220 seconds = 37 min 0 s |
Is 2220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2220 ÷ 2 = 1110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2220 ÷ 3 = 740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2220 ÷ 4 = 555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2220 ÷ 5 = 444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2220 ÷ 6 = 370) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2220 ÷ 10 = 222) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2220 ÷ 12 = 185) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2220 a prime number?
No. 2220 = × 3 × 5 × 37, so it is divisible by 2.
What are the factors of 2220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220.
What is 2220 in binary?
100010101100 (hexadecimal 8AC, octal 4254).
What is the square root of 2220?
About 47.1169, exactly 2√555.
What is 2220 in Roman numerals?
MMCCXX.
Is 2220 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 2220?
2220 is a Harshad number: divisible by its digit sum 6.