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230003280 = 24335138191
BaseRepresentation
bin11011011010110…
…01001001010000
3121000210101012000
431231121021100
5432340101110
634453434000
75461665333
oct1555311120
9530711160
10230003280
11108915961
126503b900
1338860920
142279261a
15152d41c0
hexdb59250

230003280 has 160 divisors (see below), whose sum is σ = 853278720. Its totient is φ = 56609280.

The previous prime is 230003261. The next prime is 230003281. The reversal of 230003280 is 82300032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230003281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23985 + ... + 32175.

It is an arithmetic number, because the mean of its divisors is an integer number (5332992).

Almost surely, 2230003280 is an apocalyptic number.

230003280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426639360).

230003280 is an abundant number, since it is smaller than the sum of its proper divisors (623275440).

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

230003280 is a wasteful number, since it uses less digits than its factorization.

230003280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230003280 is about 15165.8590261152. The cubic root of 230003280 is about 612.6954800186.

The spelling of 230003280 in words is "two hundred thirty million, three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 8191 9360 14040 16382 24573 28080 32764 40955 49146 65528 73719 81910 98292 106483 122865 131056 147438 163820 196584 212966 221157 245730 294876 319449 327640 368595 393168 425932 442314 491460 532415 589752 638898 655280 737190 851864 884628 958347 982920 1064830 1105785 1179504 1277796 1474380 1597245 1703728 1769256 1916694 1965840 2129660 2211570 2555592 2875041 2948760 3194490 3538512 3833388 4259320 4423140 4791735 5111184 5750082 5897520 6388980 7666776 8518640 8846280 9583470 11500164 12777960 14375205 15333552 17692560 19166940 23000328 25555920 28750410 38333880 46000656 57500820 76667760 115001640 230003280