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231882768 = 243213971277
BaseRepresentation
bin11011101001001…
…00000000010000
3121011022212100200
431310210000100
5433330222033
635002015200
75513654025
oct1564440020
9534285320
10231882768
11109989a57
12657a7500
133906b250
1422b2154c
1515556013
hexdd24010

231882768 has 120 divisors (see below), whose sum is σ = 706626648. Its totient is φ = 70557696.

The previous prime is 231882751. The next prime is 231882773. The reversal of 231882768 is 867288132.

231882768 is digitally balanced in base 3, 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 4 ways, for example, as 14379264 + 217503504 = 3792^2 + 14748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180946 + ... + 182222.

Almost surely, 2231882768 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 231882768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353313324).

231882768 is an abundant number, since it is smaller than the sum of its proper divisors (474743880).

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

231882768 is a wasteful number, since it uses less digits than its factorization.

231882768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1392 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 231882768 is about 15227.6973965206. The cubic root of 231882768 is about 614.3598494677.

The spelling of 231882768 in words is "two hundred thirty-one million, eight hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 312 388 468 582 624 776 873 936 1164 1261 1277 1552 1746 1872 2328 2522 2554 3492 3783 3831 4656 5044 5108 6984 7566 7662 10088 10216 11349 11493 13968 15132 15324 16601 20176 20432 22698 22986 30264 30648 33202 45396 45972 49803 60528 61296 66404 90792 91944 99606 123869 132808 149409 181584 183888 199212 247738 265616 298818 371607 398424 495476 597636 743214 796848 990952 1114821 1195272 1486428 1610297 1981904 2229642 2390544 2972856 3220594 4459284 4830891 5945712 6441188 8918568 9661782 12882376 14492673 17837136 19323564 25764752 28985346 38647128 57970692 77294256 115941384 231882768