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228063916017 = 32724112613457
BaseRepresentation
bin1101010001100110101…
…0110010111111110001
3210210200011111022221100
43110121222302333301
512214033330303032
6252434321115013
722322431205100
oct3243152627761
9723604438840
10228063916017
11887a3153723
123824a188a69
1318677558442
14b07734c037
155dec11397c
hex3519ab2ff1

228063916017 has 36 divisors (see below), whose sum is σ = 392556039876. Its totient is φ = 127143636480.

The previous prime is 228063915997. The next prime is 228063916039. The reversal of 228063916017 is 710619360822.

228063916017 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 6 + 39 + 1 + 601 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58718497761 + 169345418256 = 242319^2 + 411516^2 .

It is not a de Polignac number, because 228063916017 - 219 = 228063391729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228063916117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6288648 + ... + 6324809.

It is an arithmetic number, because the mean of its divisors is an integer number (10904334441).

Almost surely, 2228063916017 is an apocalyptic number.

It is an amenable number.

228063916017 is a deficient number, since it is larger than the sum of its proper divisors (164492123859).

228063916017 is a wasteful number, since it uses less digits than its factorization.

228063916017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613518 (or 12613508 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 228063916017 in words is "two hundred twenty-eight billion, sixty-three million, nine hundred sixteen thousand, seventeen".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 6027 18081 12613457 37840371 88294199 113521113 264882597 517151737 618059393 794647791 1551455211 1854178179 3620062159 4654365633 5562534537 10860186477 25340435113 32580559431 76021305339 228063916017