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230231727 = 34112331109
BaseRepresentation
bin11011011100100…
…00111010101111
3121001012222120000
431232100322233
5432414403402
634502355343
75463636345
oct1556207257
9531188500
10230231727
11108a61560
126512bb53
13389108bb
1422811995
151532bc1c
hexdb90eaf

230231727 has 40 divisors (see below), whose sum is σ = 377142480. Its totient is φ = 138810240.

The previous prime is 230231717. The next prime is 230231741. The reversal of 230231727 is 727132032.

It is a happy number.

It is not a de Polignac number, because 230231727 - 211 = 230229679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 230231727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230231717) 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 39 ways as a sum of consecutive naturals, for example, 207049 + ... + 208157.

It is an arithmetic number, because the mean of its divisors is an integer number (9428562).

Almost surely, 2230231727 is an apocalyptic number.

230231727 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

230231727 is a deficient number, since it is larger than the sum of its proper divisors (146910753).

230231727 is a wasteful number, since it uses less digits than its factorization.

230231727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 230231727 is about 15173.3887777253. The cubic root of 230231727 is about 612.8982628215.

Adding to 230231727 its reverse (727132032), we get a palindrome (957363759).

The spelling of 230231727 in words is "two hundred thirty million, two hundred thirty-one thousand, seven hundred twenty-seven".

Divisors: 1 3 9 11 27 33 81 99 233 297 699 891 1109 2097 2563 3327 6291 7689 9981 12199 18873 23067 29943 36597 69201 89829 109791 207603 258397 329373 775191 988119 2325573 2842367 6976719 8527101 20930157 25581303 76743909 230231727