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225971350182 = 23314033298201
BaseRepresentation
bin1101001001110011110…
…0010010101010100110
3210121021022221222021000
43102130330102222212
512200242131201212
6251450530134130
722216531533054
oct3223474225246
9717238858230
10225971350182
1187919a32a76
1237965421346
1318402b712c6
14ad194791d4
155d285691dc
hex349cf12aa6

225971350182 has 32 divisors (see below), whose sum is σ = 502196024160. Its totient is φ = 75318163200.

The previous prime is 225971350159. The next prime is 225971350217. The reversal of 225971350182 is 281053179522.

225971350182 is a `hidden beast` number, since 2 + 2 + 59 + 7 + 13 + 501 + 82 = 666.

225971350182 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2259713501822 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608682 + ... + 906882.

It is an arithmetic number, because the mean of its divisors is an integer number (15693625755).

Almost surely, 2225971350182 is an apocalyptic number.

225971350182 is an abundant number, since it is smaller than the sum of its proper divisors (276224673978).

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

225971350182 is a wasteful number, since it uses less digits than its factorization.

225971350182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312245 (or 312239 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 225971350182 in words is "two hundred twenty-five billion, nine hundred seventy-one million, three hundred fifty thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 14033 28066 42099 84198 126297 252594 298201 378891 596402 757782 894603 1789206 2683809 5367618 8051427 16102854 4184654633 8369309266 12553963899 25107927798 37661891697 75323783394 112985675091 225971350182