| Base | Representation |
|---|---|
| bin | 1101001100110110011… |
| … | …1101010001010000000 |
| 3 | 210200101020200100110000 |
| 4 | 3103031213222022000 |
| 5 | 12203430213244320 |
| 6 | 252103542240000 |
| 7 | 22246006256100 |
| oct | 3231547521200 |
| 9 | 720336610400 |
| 10 | 226788024960 |
| 11 | 881a8a22902 |
| 12 | 37b52a26000 |
| 13 | 18503111c13 |
| 14 | ad95b05200 |
| 15 | 5d750d6c90 |
| hex | 34cd9ea280 |
226788024960 has 1920 divisors, whose sum is σ = 1026538444800. Its totient is φ = 47405481984.
The previous prime is 226788024917. The next prime is 226788024961. The reversal of 226788024960 is 69420887622.
226788024960 is a `hidden beast` number, since 2 + 2 + 6 + 78 + 80 + 2 + 496 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 226788024897 and 226788024906.
It is not an unprimeable number, because it can be changed into a prime (226788024961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1785732417 + ... + 1785732543.
It is an arithmetic number, because the mean of its divisors is an integer number (534655440).
Almost surely, 2226788024960 is an apocalyptic number.
226788024960 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 226788024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513269222400).
226788024960 is an abundant number, since it is smaller than the sum of its proper divisors (799750419840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226788024960 is a wasteful number, since it uses less digits than its factorization.
226788024960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 228 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 4644864, while the sum is 54.
The spelling of 226788024960 in words is "two hundred twenty-six billion, seven hundred eighty-eight million, twenty-four thousand, nine hundred sixty".
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