The number 33220
33220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 151. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 151, 220, 302, 604, 755 … 33220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33220: a Harshad number: divisible by its digit sum 10.
- 2
33220 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 33220 itself that is 43388, so 33220 is abundant (43388 is more than 33220). Euler's totient φ(33220) = 12000 numbers up to 33220 share no factor with it.
- 4
The digits of 33220 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33220 = 2^{2} \times 5 \times 11 \times 151 \]33220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 12000 |
| Square | 1103568400 |
| Cube | 36660542248000 |
| Square root | 182.263545 (= 2√8305) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.322 × |
33220 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and twenty |
| Binary (base 2) | 1000000111000100 |
| Octal (base 8) | 100704 |
| Hexadecimal (base 16) | 81C4 |
| Base 3 | 1200120101 |
| As time | 33220 seconds = 9 h 13 min 40 s |
Is 33220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33220 ÷ 2 = 16610) | 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 (33220 ÷ 4 = 8305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33220 ÷ 5 = 6644) | 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 | No (remainder 4) | 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 | Yes (33220 ÷ 10 = 3322) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33220 ÷ 11 = 3020) | 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 33220 a prime number?
No. 33220 = × 5 × 11 × 151, so it is divisible by 2.
What are the factors of 33220?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 151, 220, 302, 604, 755, 1510, 1661, 3020, 3322, 6644, 8305, 16610, 33220.
What is 33220 in binary?
1000000111000100 (hexadecimal 81C4, octal 100704).
What is the square root of 33220?
About 182.2635, exactly 2√8305.
Is 33220 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33220?
33220 is a Harshad number: divisible by its digit sum 10.