| Base | Representation |
|---|---|
| bin | 100000011110111011010… |
| … | …010111001100011000000 |
| 3 | 21220101202222011110010220 |
| 4 | 200132323102321203000 |
| 5 | 243033101430222240 |
| 6 | 4425250014423040 |
| 7 | 320162514441360 |
| oct | 40367322714300 |
| 9 | 7811688143126 |
| 10 | 2232230320320 |
| 11 | 790757904750 |
| 12 | 300755501a80 |
| 13 | 1326630349b0 |
| 14 | 7a07d2aa9a0 |
| 15 | 3d0eac865d0 |
| hex | 207bb4b98c0 |
2232230320320 has 448 divisors, whose sum is σ = 9515861462016. Its totient is φ = 428159877120.
The previous prime is 2232230320261. The next prime is 2232230320321. The reversal of 2232230320320 is 230230322322.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-3 number, since 3×22322303203203 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (2232230320321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200499 + ... + 2122418.
It is an arithmetic number, because the mean of its divisors is an integer number (21240762192).
Almost surely, 22232230320320 is an apocalyptic number.
2232230320320 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 2232230320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757930731008).
2232230320320 is an abundant number, since it is smaller than the sum of its proper divisors (7283631141696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232230320320 is a wasteful number, since it uses less digits than its factorization.
2232230320320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2322968 (or 2322958 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 24.
Adding to 2232230320320 its reverse (230230322322), we get a palindrome (2462460642642).
The spelling of 2232230320320 in words is "two trillion, two hundred thirty-two billion, two hundred thirty million, three hundred twenty thousand, three hundred twenty".
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