| Base | Representation |
|---|---|
| bin | 100011111010111… |
| … | …1000001101110010 |
| 3 | 10002222222220022100 |
| 4 | 1013311320031302 |
| 5 | 4432024244401 |
| 6 | 315333521230 |
| 7 | 41603635215 |
| oct | 10765701562 |
| 9 | 3088886270 |
| 10 | 1205306226 |
| 11 | 569400453 |
| 12 | 2977a3216 |
| 13 | 162931767 |
| 14 | b611177c |
| 15 | 70c37b86 |
| hex | 47d78372 |
1205306226 has 48 divisors (see below), whose sum is σ = 2705683968. Its totient is φ = 387374400.
The previous prime is 1205306209. The next prime is 1205306243. The reversal of 1205306226 is 6226035021.
1205306226 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 30 + 622 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (1205306209) and next prime (1205306243).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 1205306226.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 152955 + ... + 160641.
It is an arithmetic number, because the mean of its divisors is an integer number (56368416).
Almost surely, 21205306226 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1205306226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352841984).
1205306226 is an abundant number, since it is smaller than the sum of its proper divisors (1500377742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1205306226 is a wasteful number, since it uses less digits than its factorization.
1205306226 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8007 (or 8004 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 1205306226 is about 34717.5204471748. The cubic root of 1205306226 is about 1064.2225735452. Note that the first 3 decimals are identical.
It can be divided in two parts, 120530 and 6226, that added together give a triangular number (126756 = T503).
The spelling of 1205306226 in words is "one billion, two hundred five million, three hundred six thousand, two hundred twenty-six".
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