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225851617908 = 223272128033797
BaseRepresentation
bin1101001001010111001…
…1100011001001110100
3210120221222122221110100
43102111303203021310
512200021003233113
6251431011554100
722213546035300
oct3222563431164
9716858587410
10225851617908
1187868394384
12379312bb930
13183b410c1c7
14ad075ccd00
155d1ccb7d73
hex3495ce3274

225851617908 has 54 divisors (see below), whose sum is σ = 664111310226. Its totient is φ = 64529033184.

The previous prime is 225851617853. The next prime is 225851617961. The reversal of 225851617908 is 809716158522.

225851617908 is a `hidden beast` number, since 2 + 2 + 58 + 516 + 1 + 79 + 0 + 8 = 666.

225851617908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 149337419364 + 76514198544 = 386442^2 + 276612^2 .

It is a super-2 number, since 2×2258516179082 (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 17 ways as a sum of consecutive naturals, for example, 64015135 + ... + 64018662.

Almost surely, 2225851617908 is an apocalyptic number.

225851617908 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225851617908 is an abundant number, since it is smaller than the sum of its proper divisors (438259692318).

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

225851617908 is a wasteful number, since it uses less digits than its factorization.

225851617908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128033821 (or 128033809 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 225851617908 in words is "two hundred twenty-five billion, eight hundred fifty-one million, six hundred seventeen thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 128033797 256067594 384101391 512135188 768202782 896236579 1152304173 1536405564 1792473158 2304608346 2688709737 3584946316 4609216692 5377419474 6273656053 8066129211 10754838948 12547312106 16132258422 18820968159 25094624212 32264516844 37641936318 56462904477 75283872636 112925808954 225851617908