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225060575607 = 3271910915710987
BaseRepresentation
bin1101000110011010100…
…1111101100101110111
3210111220212011211102100
43101212221331211313
512141411001404412
6251220313113143
722155132220440
oct3214651754567
9714825154370
10225060575607
11874a191160a
12377503b87b3
13182b927463a
14ac705162c7
155cc360eedc
hex3466a7d977

225060575607 has 96 divisors (see below), whose sum is σ = 397220595200. Its totient is φ = 119939698944.

The previous prime is 225060575603. The next prime is 225060575669. The reversal of 225060575607 is 706575060522.

225060575607 is a `hidden beast` number, since 2 + 25 + 0 + 60 + 5 + 7 + 560 + 7 = 666.

It is not a de Polignac number, because 225060575607 - 22 = 225060575603 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225060575603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20478768 + ... + 20489754.

Almost surely, 2225060575607 is an apocalyptic number.

225060575607 is a deficient number, since it is larger than the sum of its proper divisors (172160019593).

225060575607 is a wasteful number, since it uses less digits than its factorization.

225060575607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 225060575607 in words is "two hundred twenty-five billion, sixty million, five hundred seventy-five thousand, six hundred seven".

Divisors: 1 3 7 9 19 21 57 63 109 133 157 171 327 399 471 763 981 1099 1197 1413 2071 2289 2983 3297 6213 6867 8949 9891 10987 14497 17113 18639 20881 26847 32961 43491 51339 62643 76909 98883 119791 130473 154017 187929 208753 230727 325147 359373 626259 692181 975441 1078119 1197583 1461271 1724959 1878777 2276029 2926323 3592749 4383813 5174877 6828087 8383081 10778247 12074713 13151439 15524631 20484261 22754077 25149243 32774221 36224139 68262231 75447729 98322663 108672417 159278539 188020531 204786693 229419547 294967989 477835617 564061593 688258641 1316143717 1433506851 1692184779 2064775923 3572390089 3948431151 10717170267 11845293453 25006730623 32151510801 75020191869 225060575607