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17227350009 = 326726532
BaseRepresentation
bin10000000010110101…
…000111111111111001
31122110121022001111100
4100002311013333321
5240240200200014
611525241522013
71146624026142
oct200265077771
948417261440
1017227350009
117340432051
1234094a3309
13181713543c
14b95d80ac9
156ac635009
hex402d47ff9

17227350009 has 27 divisors (see below), whose sum is σ = 25299639183. Its totient is φ = 11296158192.

The previous prime is 17227350001. The next prime is 17227350013. The reversal of 17227350009 is 90005372271.

The square root of 17227350009 is 131253.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4008789225 + 13218560784 = 63315^2 + 114972^2 .

It is not a de Polignac number, because 17227350009 - 23 = 17227350001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17227350001) 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 26 ways as a sum of consecutive naturals, for example, 26381527 + ... + 26382179.

Almost surely, 217227350009 is an apocalyptic number.

17227350009 is the 131253-rd square number.

17227350009 is the 65627-th centered octagonal number.

It is an amenable number.

17227350009 is a deficient number, since it is larger than the sum of its proper divisors (8072289174).

17227350009 is an frugal number, since it uses more digits than its factorization.

17227350009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

Multiplying 17227350009 by its sum of digits (36), we get a square (620184600324 = 7875182).

It can be divided in two parts, 17227 and 350009, that added together give a square (367236 = 6062).

The spelling of 17227350009 in words is "seventeen billion, two hundred twenty-seven million, three hundred fifty thousand, nine".

Divisors: 1 3 9 67 201 603 653 1959 4489 5877 13467 40401 43751 131253 393759 426409 1279227 2931317 3837681 8793951 26381853 28569403 85708209 257124627 1914150001 5742450003 17227350009