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225855342 = 23212547519
BaseRepresentation
bin11010111011001…
…00011101101110
3120201222122021200
431131210131232
5430304332332
634224510330
75411511246
oct1535443556
9521878250
10225855342
11106542509
126377b3a6
1337a3a91b
1421dd2b26
1514c6517c
hexd76476e

225855342 has 12 divisors (see below), whose sum is σ = 489353280. Its totient is φ = 75285108.

The previous prime is 225855293. The next prime is 225855349. The reversal of 225855342 is 243558522.

It is a happy number.

225855342 is a `hidden beast` number, since 22 + 585 + 53 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225855297 and 225855306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225855349) 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 5 ways as a sum of consecutive naturals, for example, 6273742 + ... + 6273777.

It is an arithmetic number, because the mean of its divisors is an integer number (40779440).

Almost surely, 2225855342 is an apocalyptic number.

225855342 is an abundant number, since it is smaller than the sum of its proper divisors (263497938).

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

225855342 is a wasteful number, since it uses less digits than its factorization.

225855342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547527 (or 12547524 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 225855342 is about 15028.4843547179. The cubic root of 225855342 is about 608.9899453961.

It can be divided in two parts, 2258 and 55342, that added together give a square (57600 = 2402).

The spelling of 225855342 in words is "two hundred twenty-five million, eight hundred fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 12547519 25095038 37642557 75285114 112927671 225855342