Search a number
-
+
225765670365 = 33541269151631
BaseRepresentation
bin1101001001000010101…
…1101011110111011101
3210120201222221100121000
43102100223223313131
512144332002422430
6251414301500513
722211453351334
oct3222053536735
9716658840530
10225765670365
1187823920754
1237908571739
131839c378981
14acda018d1b
155d1548be60
hex3490aebddd

225765670365 has 64 divisors (see below), whose sum is σ = 412681651200. Its totient is φ = 117034099200.

The previous prime is 225765670363. The next prime is 225765670369. The reversal of 225765670365 is 563076567522.

225765670365 is a `hidden beast` number, since 2 + 2 + 5 + 76 + 567 + 0 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 225765670365 - 21 = 225765670363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225765670363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1413100 + ... + 1564730.

It is an arithmetic number, because the mean of its divisors is an integer number (6448150800).

Almost surely, 2225765670365 is an apocalyptic number.

It is an amenable number.

225765670365 is a deficient number, since it is larger than the sum of its proper divisors (186915980835).

225765670365 is a wasteful number, since it uses less digits than its factorization.

225765670365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151955 (or 151949 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 225765670365 in words is "two hundred twenty-five billion, seven hundred sixty-five million, six hundred seventy thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 269 369 615 807 1107 1345 1845 2421 4035 5535 7263 11029 12105 33087 36315 55145 99261 151631 165435 297783 454893 496305 758155 1364679 1488915 2274465 4094037 6216871 6823395 18650613 20470185 31084355 40788739 55951839 93253065 122366217 167855517 203943695 279759195 367098651 611831085 839277585 1101295953 1672338299 1835493255 5017014897 5506479765 8361691495 15051044691 25085074485 45153134073 75255223455 225765670365