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225207536130 = 232531130361949
BaseRepresentation
bin1101000110111101101…
…0100100101000000010
3210112022002201012100200
43101233122210220002
512142211112124010
6251243043030030
722161565320663
oct3215732445002
9715262635320
10225207536130
1187567868195
123779166b316
131831084ac25
14ac85c4d36a
155cd148dcc0
hex346f6a4a02

225207536130 has 96 divisors (see below), whose sum is σ = 604901606400. Its totient is φ = 58072533120.

The previous prime is 225207536119. The next prime is 225207536131. The reversal of 225207536130 is 31635702522.

225207536130 is a `hidden beast` number, since 2 + 2 + 520 + 75 + 3 + 61 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (225207536131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3604396 + ... + 3666344.

It is an arithmetic number, because the mean of its divisors is an integer number (6301058400).

Almost surely, 2225207536130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225207536130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302450803200).

225207536130 is an abundant number, since it is smaller than the sum of its proper divisors (379694070270).

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

225207536130 is a wasteful number, since it uses less digits than its factorization.

225207536130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63296 (or 63293 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 225207536130 in words is "two hundred twenty-five billion, two hundred seven million, five hundred thirty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1303 1395 2606 2790 3909 6515 7818 11727 13030 19545 23454 39090 40393 58635 61949 80786 117270 121179 123898 185847 201965 242358 309745 363537 371694 403930 557541 605895 619490 727074 929235 1115082 1211790 1817685 1858470 1920419 2787705 3635370 3840838 5575410 5761257 9602095 11522514 17283771 19204190 28806285 34567542 57612570 80719547 86418855 161439094 172837710 242158641 403597735 484317282 726475923 807195470 1210793205 1452951846 2421586410 2502305957 3632379615 5004611914 7264759230 7506917871 12511529785 15013835742 22520753613 25023059570 37534589355 45041507226 75069178710 112603768065 225207536130