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230769231 = 37111952579
BaseRepresentation
bin11011100000101…
…00001001001111
3121002020021212120
431300110021033
5433034103411
634522104023
75501335410
oct1560241117
9532207776
10230769231
11109299380
126534b013
1338a6b454
1422911807
15153d6106
hexdc1424f

230769231 has 32 divisors (see below), whose sum is σ = 403814400. Its totient is φ = 113568480.

The previous prime is 230769199. The next prime is 230769251. The reversal of 230769231 is 132967032.

It is a happy number.

It is not a de Polignac number, because 230769231 - 25 = 230769199 is a prime.

It is a super-2 number, since 2×2307692312 = 106508875952662722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 230769192 and 230769201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230769251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21901 + ... + 30678.

It is an arithmetic number, because the mean of its divisors is an integer number (12619200).

Almost surely, 2230769231 is an apocalyptic number.

230769231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230769231 is a deficient number, since it is larger than the sum of its proper divisors (173045169).

230769231 is a wasteful number, since it uses less digits than its factorization.

230769231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52619.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 230769231 is about 15191.0905138505. The cubic root of 230769231 is about 613.3748540010.

The spelling of 230769231 in words is "two hundred thirty million, seven hundred sixty-nine thousand, two hundred thirty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 52579 157737 368053 578369 999001 1104159 1735107 2997003 4048583 6993007 10989011 12145749 20979021 32967033 76923077 230769231