| Base | Representation |
|---|---|
| bin | 110010000101111101100011… |
| … | …101101011110010001110000 |
| 3 | 1001220001121211111100202210110 |
| 4 | 302011331203231132101300 |
| 5 | 212334043004200010300 |
| 6 | 2100321540033501320 |
| 7 | 64256006146261014 |
| oct | 6205754355362160 |
| 9 | 1056047744322713 |
| 10 | 220312020313200 |
| 11 | 6421a891a42922 |
| 12 | 20861b41a11840 |
| 13 | 95c14467c8b7a |
| 14 | 3c592315ac544 |
| 15 | 1a70c4ba18550 |
| hex | c85f63b5e470 |
220312020313200 has 480 divisors, whose sum is σ = 716607484185600. Its totient is φ = 57848863887360.
The previous prime is 220312020313193. The next prime is 220312020313207. The reversal of 220312020313200 is 2313020213022.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (220312020313193) and next prime (220312020313207).
It is a super-3 number, since 3×2203120203132003 (a number of 44 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (220312020313207) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99553555294 + ... + 99553557506.
It is an arithmetic number, because the mean of its divisors is an integer number (1492932258720).
Almost surely, 2220312020313200 is an apocalyptic number.
220312020313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 220312020313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358303742092800).
220312020313200 is an abundant number, since it is smaller than the sum of its proper divisors (496295463872400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220312020313200 is a wasteful number, since it uses less digits than its factorization.
220312020313200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4689 (or 4678 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
Adding to 220312020313200 its reverse (2313020213022), we get a palindrome (222625040526222).
The spelling of 220312020313200 in words is "two hundred twenty trillion, three hundred twelve billion, twenty million, three hundred thirteen thousand, two hundred".
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