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229072642695 = 325131779291569
BaseRepresentation
bin1101010101010111001…
…0110010001010000111
3210220021110120221210200
43111111302302022013
512223120044031240
6253122353421543
722356430223151
oct3252562621207
9726243527720
10229072642695
1189170597a36
123848bb6a8b3
13187a852c730
14b1312cbad1
155e5a96a930
hex3555cb2287

229072642695 has 96 divisors (see below), whose sum is σ = 458487993600. Its totient is φ = 104796536832.

The previous prime is 229072642639. The next prime is 229072642709. The reversal of 229072642695 is 596246270922.

229072642695 is a `hidden beast` number, since 2 + 290 + 7 + 264 + 2 + 6 + 95 = 666.

229072642695 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 229072642695 - 28 = 229072642439 is a prime.

It is a super-2 number, since 2×2290726426952 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 639871 + ... + 931439.

It is an arithmetic number, because the mean of its divisors is an integer number (4775916600).

Almost surely, 2229072642695 is an apocalyptic number.

229072642695 is an abundant number, since it is smaller than the sum of its proper divisors (229415350905).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229072642695 is a wasteful number, since it uses less digits than its factorization.

229072642695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291689 (or 291686 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 229072642695 in words is "two hundred twenty-nine billion, seventy-two million, six hundred forty-two thousand, six hundred ninety-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 79 85 117 153 195 221 237 255 395 585 663 711 765 1027 1105 1185 1343 1989 3081 3315 3555 4029 5135 6715 9243 9945 12087 15405 17459 20145 46215 52377 60435 87295 157131 261885 291569 785655 874707 1457845 2624121 3790397 4373535 4956673 11371191 13120605 14870019 18951985 23033951 24783365 34113573 44610057 56855955 64436749 69101853 74350095 115169755 170567865 193310247 207305559 223050285 299441363 322183745 345509265 391577167 579930741 898324089 966551235 1036527795 1174731501 1497206815 1957885835 2694972267 2899653705 3524194503 4491620445 5090503171 5873657505 13474861335 15271509513 17620972515 25452515855 45814528539 76357547565 229072642695