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231146412 = 223723181661
BaseRepresentation
bin11011100011100…
…00001110101100
3121002221110021020
431301300032230
5433133141122
634534134140
75504466150
oct1561601654
9532843236
10231146412
111095267a2
12654b1350
1338b71033
14229ad060
151545cc5c
hexdc703ac

231146412 has 96 divisors (see below), whose sum is σ = 647721984. Its totient is φ = 62726400.

The previous prime is 231146411. The next prime is 231146453. The reversal of 231146412 is 214641132.

231146412 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (231146411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349362 + ... + 350022.

It is an arithmetic number, because the mean of its divisors is an integer number (6747104).

Almost surely, 2231146412 is an apocalyptic number.

It is a pronic number, being equal to 15203×15204.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231146412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323860992).

231146412 is an abundant number, since it is smaller than the sum of its proper divisors (416575572).

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

231146412 is a wasteful number, since it uses less digits than its factorization.

231146412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 877 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 231146412 is about 15203.4999917782. The cubic root of 231146412 is about 613.7088491483.

Adding to 231146412 its reverse (214641132), we get a palindrome (445787544).

The spelling of 231146412 in words is "two hundred thirty-one million, one hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 181 276 322 362 483 543 644 661 724 966 1086 1267 1322 1932 1983 2172 2534 2644 3801 3966 4163 4627 5068 7602 7932 8326 9254 12489 13881 15203 15204 16652 18508 24978 27762 29141 30406 45609 49956 55524 58282 60812 87423 91218 106421 116564 119641 174846 182436 212842 239282 319263 349692 358923 425684 478564 638526 717846 837487 1277052 1435692 1674974 2512461 2751743 3349948 5024922 5503486 8255229 10049844 11006972 16510458 19262201 33020916 38524402 57786603 77048804 115573206 231146412