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231469128 = 23321121632
BaseRepresentation
bin11011100101111…
…11000001001000
3121010112211221200
431302333001020
5433224003003
634545104200
75510312052
oct1562770110
9533484850
10231469128
11109727200
1265628060
1338c54ba7
1422a548d2
15154c36a3
hexdcbf048

231469128 has 108 divisors (see below), whose sum is σ = 693320355. Its totient is φ = 69711840.

The previous prime is 231469123. The next prime is 231469169. The reversal of 231469128 is 821964132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

231469128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 115734564 + 115734564 = 10758^2 + 10758^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10758.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231469092 and 231469101.

It is not an unprimeable number, because it can be changed into a prime (231469123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1419975 + ... + 1420137.

Almost surely, 2231469128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231469128

231469128 is an abundant number, since it is smaller than the sum of its proper divisors (461851227).

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

231469128 is a wasteful number, since it uses less digits than its factorization.

231469128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 179 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 231469128 is about 15214.1095040098. The cubic root of 231469128 is about 613.9943270315.

The spelling of 231469128 in words is "two hundred thirty-one million, four hundred sixty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 163 198 242 264 326 363 396 484 489 652 726 792 968 978 1089 1304 1452 1467 1793 1956 2178 2904 2934 3586 3912 4356 5379 5868 7172 8712 10758 11736 14344 16137 19723 21516 26569 32274 39446 43032 53138 59169 64548 78892 79707 106276 118338 129096 157784 159414 177507 212552 236676 239121 292259 318828 355014 473352 478242 584518 637656 710028 876777 956484 1169036 1420056 1753554 1912968 2338072 2630331 3214849 3507108 5260662 6429698 7014216 9644547 10521324 12859396 19289094 21042648 25718792 28933641 38578188 57867282 77156376 115734564 231469128