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225126410166 = 23272704336241
BaseRepresentation
bin1101000110101010010…
…1000110011110110110
3210112002110001120110100
43101222211012132312
512142024330111131
6251231024134530
722156561625100
oct3215245063666
9715073046410
10225126410166
1187525a98039
123776a467446
13182c9ab51b8
14ac79172570
155cc92b67e6
hex346a9467b6

225126410166 has 72 divisors (see below), whose sum is σ = 567506664504. Its totient is φ = 64310924160.

The previous prime is 225126410161. The next prime is 225126410237. The reversal of 225126410166 is 661014621522.

225126410166 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 2 + 641 + 0 + 1 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225126410166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225126410161) 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, 6193806 + ... + 6230046.

It is an arithmetic number, because the mean of its divisors is an integer number (7882037007).

Almost surely, 2225126410166 is an apocalyptic number.

225126410166 is an abundant number, since it is smaller than the sum of its proper divisors (342380254338).

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

225126410166 is a wasteful number, since it uses less digits than its factorization.

225126410166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43306 (or 43296 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 225126410166 in words is "two hundred twenty-five billion, one hundred twenty-six million, four hundred ten thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 7043 14086 21129 36241 42258 49301 63387 72482 98602 108723 126774 147903 217446 253687 295806 326169 345107 443709 507374 652338 690214 761061 887418 1035321 1522122 1775809 2070642 2283183 3105963 3551618 4566366 5327427 6211926 10654854 15982281 31964562 255245363 510490726 765736089 1531472178 1786717541 2297208267 3573435082 4594416534 5360152623 10720305246 12507022787 16080457869 25014045574 32160915738 37521068361 75042136722 112563205083 225126410166