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230873808 = 243112127313
BaseRepresentation
bin11011100001011…
…01101011010000
3121002102121022210
431300231223100
5433100430213
634524232120
75502252324
oct1560555320
9532377283
10230873808
1110935aa00
126539b640
1338aa6c29
142293b984
15154070c3
hexdc2dad0

230873808 has 120 divisors (see below), whose sum is σ = 662846464. Its totient is φ = 69189120.

The previous prime is 230873791. The next prime is 230873813. The reversal of 230873808 is 808378032.

It is a happy number.

230873808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 737460 + ... + 737772.

Almost surely, 2230873808 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 230873808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331423232).

230873808 is an abundant number, since it is smaller than the sum of its proper divisors (431972656).

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

230873808 is a wasteful number, since it uses less digits than its factorization.

230873808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 230873808 is about 15194.5321744370. The cubic root of 230873808 is about 613.4674937560.

The spelling of 230873808 in words is "two hundred thirty million, eight hundred seventy-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 127 132 176 242 254 264 313 363 381 484 508 528 626 726 762 939 968 1016 1252 1397 1452 1524 1878 1936 2032 2504 2794 2904 3048 3443 3756 4191 5008 5588 5808 6096 6886 7512 8382 10329 11176 13772 15024 15367 16764 20658 22352 27544 30734 33528 37873 39751 41316 46101 55088 61468 67056 75746 79502 82632 92202 113619 119253 122936 151492 159004 165264 184404 227238 238506 245872 302984 318008 368808 437261 454476 477012 605968 636016 737616 874522 908952 954024 1311783 1749044 1817904 1908048 2623566 3498088 4809871 5247132 6996176 9619742 10494264 14429613 19239484 20988528 28859226 38478968 57718452 76957936 115436904 230873808