Search a number
-
+
214034403232230 = 235719149423358999
BaseRepresentation
bin110000101010100111000100…
…100100110000100111100110
31001001211111012120022021210020
4300222213010210300213212
5211023214424211412410
62035114014125140010
763040322016433650
oct6052470444604746
91031744176267706
10214034403232230
116221a531839569
12200093746ba606
139257485900179
143abd46b2176d0
1519b27d543ca70
hexc2a9c49309e6

214034403232230 has 128 divisors (see below), whose sum is σ = 617969848320000. Its totient is φ = 46346860070784.

The previous prime is 214034403232207. The next prime is 214034403232253. The reversal of 214034403232230 is 32232304430412.

It is an interprime number because it is at equal distance from previous prime (214034403232207) and next prime (214034403232253).

It is a junction number, because it is equal to n+sod(n) for n = 214034403232191 and 214034403232200.

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, 596018271 + ... + 596377269.

It is an arithmetic number, because the mean of its divisors is an integer number (4827889440000).

Almost surely, 2214034403232230 is an apocalyptic number.

214034403232230 is an abundant number, since it is smaller than the sum of its proper divisors (403935445087770).

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

214034403232230 is a wasteful number, since it uses less digits than its factorization.

214034403232230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508458.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 214034403232230 its reverse (32232304430412), we get a palindrome (246266707662642).

The spelling of 214034403232230 in words is "two hundred fourteen trillion, thirty-four billion, four hundred three million, two hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 149423 298846 358999 448269 717998 747115 896538 1045961 1076997 1494230 1794995 2091922 2153994 2241345 2512993 2839037 3137883 3589990 4482690 5025986 5229805 5384985 5678074 6275766 6820981 7538979 8517111 10459610 10769970 12564965 13641962 14195185 15077958 15689415 17034222 19873259 20462943 25129930 28390370 31378830 34104905 37694895 39746518 40925886 42585555 47746867 59619777 68209810 75389790 85171110 95493734 99366295 102314715 119239554 143240601 198732590 204629430 238734335 286481202 298098885 477468670 596197770 716203005 1432406010 53642707577 107285415154 160928122731 268213537885 321856245462 375498953039 536427075770 750997906078 804640613655 1019211443963 1126496859117 1609281227310 1877494765195 2038422887926 2252993718234 3057634331889 3754989530390 5096057219815 5632484295585 6115268663778 7134480107741 10192114439630 11264968591170 14268960215482 15288171659445 21403440323223 30576343318890 35672400538705 42806880646446 71344801077410 107017201616115 214034403232230