Search a number
-
+
231305844 = 2237111731447
BaseRepresentation
bin11011100100101…
…11001001110100
3121010020112222010
431302113021310
5433203241334
634541404220
75506032030
oct1562271164
9533215863
10231305844
11109625560
1265569670
1338bc8783
1422a111c0
15154900e9
hexdc97274

231305844 has 96 divisors (see below), whose sum is σ = 677246976. Its totient is φ = 59690880.

The previous prime is 231305843. The next prime is 231305863. The reversal of 231305844 is 448503132.

231305844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231305843) 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, 159129 + ... + 160575.

It is an arithmetic number, because the mean of its divisors is an integer number (7054656).

Almost surely, 2231305844 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 231305844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338623488).

231305844 is an abundant number, since it is smaller than the sum of its proper divisors (445941132).

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

231305844 is a wasteful number, since it uses less digits than its factorization.

231305844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 231305844 is about 15208.7423543171. The cubic root of 231305844 is about 613.8499175171.

Adding to 231305844 its reverse (448503132), we get a palindrome (679808976).

The spelling of 231305844 in words is "two hundred thirty-one million, three hundred five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 173 231 308 346 462 519 692 924 1038 1211 1447 1903 2076 2422 2894 3633 3806 4341 4844 5709 5788 7266 7612 8682 10129 11418 13321 14532 15917 17364 20258 22836 26642 30387 31834 39963 40516 47751 53284 60774 63668 79926 95502 111419 121548 159852 191004 222838 250331 334257 445676 500662 668514 750993 1001324 1337028 1501986 1752317 2753641 3003972 3504634 5256951 5507282 7009268 8260923 10513902 11014564 16521846 19275487 21027804 33043692 38550974 57826461 77101948 115652922 231305844