Search a number
-
+
32314204230 = 23571119372481
BaseRepresentation
bin11110000110000100…
…111010000001000110
310002102000212122202220
4132012010322001012
51012134414013410
622502301313210
72222530126650
oct360604720106
9102360778686
1032314204230
1112782586a10
126319b65806
13307c971609
1417c79336d0
15c91da4070
hex78613a046

32314204230 has 128 divisors (see below), whose sum is σ = 97193143296. Its totient is φ = 6679756800.

The previous prime is 32314204213. The next prime is 32314204253. The reversal of 32314204230 is 3240241323.

It is a self number, because there is not a number n which added to its sum of digits gives 32314204230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409590 + ... + 482070.

It is an arithmetic number, because the mean of its divisors is an integer number (759321432).

Almost surely, 232314204230 is an apocalyptic number.

32314204230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32314204230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48596571648).

32314204230 is an abundant number, since it is smaller than the sum of its proper divisors (64878939066).

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

32314204230 is a wasteful number, since it uses less digits than its factorization.

32314204230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72702.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32314204230 its reverse (3240241323), we get a palindrome (35554445553).

The spelling of 32314204230 in words is "thirty-two billion, three hundred fourteen million, two hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 193 210 231 330 385 386 462 579 770 965 1155 1158 1351 1930 2123 2310 2702 2895 4053 4246 5790 6369 6755 8106 10615 12738 13510 14861 20265 21230 29722 31845 40530 44583 63690 72481 74305 89166 144962 148610 217443 222915 362405 434886 445830 507367 724810 797291 1014734 1087215 1522101 1594582 2174430 2391873 2536835 3044202 3986455 4783746 5073670 5581037 7610505 7972910 11162074 11959365 13988833 15221010 16743111 23918730 27905185 27977666 33486222 41966499 55810370 69944165 83715555 83932998 97921831 139888330 153877163 167431110 195843662 209832495 293765493 307754326 419664990 461631489 489609155 587530986 769385815 923262978 979218310 1077140141 1468827465 1538771630 2154280282 2308157445 2937654930 3231420423 4616314890 5385700705 6462840846 10771401410 16157102115 32314204230