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231417368 = 237131272503
BaseRepresentation
bin11011100101100…
…10011000011000
3121010110012221122
431302302120120
5433220323433
634544024412
75510005130
oct1562623030
9533405848
10231417368
111096a1326
1265602108
1338c37470
1422a3dac0
15154b3198
hexdcb2618

231417368 has 64 divisors (see below), whose sum is σ = 538460160. Its totient is φ = 90792576.

The previous prime is 231417367. The next prime is 231417371. The reversal of 231417368 is 863714132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231417367) 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 15 ways as a sum of consecutive naturals, for example, 91205 + ... + 93707.

It is an arithmetic number, because the mean of its divisors is an integer number (8413440).

Almost surely, 2231417368 is an apocalyptic number.

231417368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231417368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269230080).

231417368 is an abundant number, since it is smaller than the sum of its proper divisors (307042792).

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

231417368 is a wasteful number, since it uses less digits than its factorization.

231417368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2652 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 231417368 is about 15212.4083563386. The cubic root of 231417368 is about 613.9485574786.

The spelling of 231417368 in words is "two hundred thirty-one million, four hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 182 254 364 508 728 889 1016 1651 1778 2503 3302 3556 5006 6604 7112 10012 11557 13208 17521 20024 23114 32539 35042 46228 65078 70084 92456 130156 140168 227773 260312 317881 455546 635762 911092 1271524 1822184 2225167 2543048 4132453 4450334 8264906 8900668 16529812 17801336 28927171 33059624 57854342 115708684 231417368