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225418329 = 3331269317
BaseRepresentation
bin11010110111110…
…01110001011001
3120201011102211000
431123321301121
5430201341304
634211255213
75405011203
oct1533716131
9521142730
10225418329
11106274144
12635aa509
1337916a36
1421d1b773
1514bca939
hexd6f9c59

225418329 has 16 divisors (see below), whose sum is σ = 344727040. Its totient is φ = 145430640.

The previous prime is 225418327. The next prime is 225418357. The reversal of 225418329 is 923814522.

It is a happy number.

It is not a de Polignac number, because 225418329 - 21 = 225418327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225418293 and 225418302.

It is not an unprimeable number, because it can be changed into a prime (225418327) 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 15 ways as a sum of consecutive naturals, for example, 133822 + ... + 135495.

It is an arithmetic number, because the mean of its divisors is an integer number (21545440).

Almost surely, 2225418329 is an apocalyptic number.

It is an amenable number.

225418329 is a deficient number, since it is larger than the sum of its proper divisors (119308711).

225418329 is a wasteful number, since it uses less digits than its factorization.

225418329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269357 (or 269351 counting only the distinct ones).

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

The square root of 225418329 is about 15013.9378245682. The cubic root of 225418329 is about 608.5969086308.

The spelling of 225418329 in words is "two hundred twenty-five million, four hundred eighteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 31 93 279 837 269317 807951 2423853 7271559 8348827 25046481 75139443 225418329