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230753106 = 23297283467
BaseRepresentation
bin11011100000100…
…00001101010010
3121002012110202100
431300100031102
5433033044411
634521501230
75501240403
oct1560201522
9532173670
10230753106
11109288251
1265341816
1338a63ccc
14229099aa
15153d1456
hexdc10352

230753106 has 48 divisors (see below), whose sum is σ = 507989664. Its totient is φ = 75693312.

The previous prime is 230753101. The next prime is 230753113. The reversal of 230753106 is 601357032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 230753106.

It is not an unprimeable number, because it can be changed into a prime (230753101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493885 + ... + 494351.

It is an arithmetic number, because the mean of its divisors is an integer number (10583118).

Almost surely, 2230753106 is an apocalyptic number.

230753106 is an abundant number, since it is smaller than the sum of its proper divisors (277236558).

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

230753106 is a wasteful number, since it uses less digits than its factorization.

230753106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 230753106 is about 15190.5597658546. The cubic root of 230753106 is about 613.3605671456.

The spelling of 230753106 in words is "two hundred thirty million, seven hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 97 194 283 291 467 566 582 849 873 934 1401 1698 1746 2547 2802 4203 5094 8406 27451 45299 54902 82353 90598 132161 135897 164706 247059 264322 271794 396483 407691 494118 792966 815382 1189449 2378898 12819617 25639234 38458851 76917702 115376553 230753106