Search a number
-
+
231982506 = 23274347911
BaseRepresentation
bin11011101001111…
…00010110101010
3121011111221011200
431310330112222
5433341420011
635004105030
75514550560
oct1564742652
9534457150
10231982506
11109a47988
1265835176
13390a4772
1422b49a30
1515575856
hexdd3c5aa

231982506 has 96 divisors (see below), whose sum is σ = 600956928. Its totient is φ = 63292320.

The previous prime is 231982477. The next prime is 231982507. The reversal of 231982506 is 605289132.

It is not an unprimeable number, because it can be changed into a prime (231982507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254191 + ... + 255101.

It is an arithmetic number, because the mean of its divisors is an integer number (6259968).

Almost surely, 2231982506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231982506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300478464).

231982506 is an abundant number, since it is smaller than the sum of its proper divisors (368974422).

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

231982506 is a wasteful number, since it uses less digits than its factorization.

231982506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 231982506 is about 15230.9719322176. The cubic root of 231982506 is about 614.4479201770.

The spelling of 231982506 in words is "two hundred thirty-one million, nine hundred eighty-two thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 47 63 86 94 126 129 141 258 282 301 329 387 423 602 658 774 846 903 911 987 1806 1822 1974 2021 2709 2733 2961 4042 5418 5466 5922 6063 6377 8199 12126 12754 14147 16398 18189 19131 28294 36378 38262 39173 42441 42817 57393 78346 84882 85634 114786 117519 127323 128451 235038 254646 256902 274211 299719 352557 385353 548422 599438 705114 770706 822633 899157 1645266 1798314 1841131 2467899 2697471 3682262 4935798 5394942 5523393 11046786 12887917 16570179 25775834 33140358 38663751 77327502 115991253 231982506