[go: up one dir, main page]

Search a number
-
+
231509768 = 23713733011
BaseRepresentation
bin11011100110010…
…00111100001000
3121010121220200212
431303020330020
5433231303033
634550020252
75510541410
oct1563107410
9533556625
10231509768
11109754796
1265647688
1338c6a539
1422a65640
15154d0748
hexdcc8f08

231509768 has 32 divisors (see below), whose sum is σ = 496618560. Its totient is φ = 99113280.

The previous prime is 231509749. The next prime is 231509779. The reversal of 231509768 is 867905132.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75383 + ... + 78393.

It is an arithmetic number, because the mean of its divisors is an integer number (15519330).

Almost surely, 2231509768 is an apocalyptic number.

231509768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

231509768 is an abundant number, since it is smaller than the sum of its proper divisors (265108792).

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

231509768 is a wasteful number, since it uses less digits than its factorization.

231509768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 231509768 is about 15215.4450477139. The cubic root of 231509768 is about 614.0302587768.

The spelling of 231509768 in words is "two hundred thirty-one million, five hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 1373 2746 3011 5492 6022 9611 10984 12044 19222 21077 24088 38444 42154 76888 84308 168616 4134103 8268206 16536412 28938721 33072824 57877442 115754884 231509768