Search a number
-
+
2214331220430 = 2325722127723599
BaseRepresentation
bin100000001110010000011…
…011010000000111001110
321211200120112211222001100
4200032100123100013032
5242234422243023210
64413125534523530
7315660122550600
oct40162033200716
97750515758040
102214331220430
1178410227900a
122b919b0665a6
13130a6c9a1824
1479262027170
153c8ee6ae5c0
hex203906d01ce

2214331220430 has 144 divisors (see below), whose sum is σ = 6697820750400. Its totient is φ = 506087616384.

The previous prime is 2214331220363. The next prime is 2214331220459. The reversal of 2214331220430 is 340221334122.

2214331220430 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 3 + 3 + 1 + 220 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2214331220394 and 2214331220403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93819771 + ... + 93843369.

It is an arithmetic number, because the mean of its divisors is an integer number (46512644100).

Almost surely, 22214331220430 is an apocalyptic number.

2214331220430 is an abundant number, since it is smaller than the sum of its proper divisors (4483489529970).

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

2214331220430 is a wasteful number, since it uses less digits than its factorization.

2214331220430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44903 (or 44893 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2214331220430 its reverse (340221334122), we get a palindrome (2554552554552).

The spelling of 2214331220430 in words is "two trillion, two hundred fourteen billion, three hundred thirty-one million, two hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 21277 23599 42554 47198 63831 70797 106385 117995 127662 141594 148939 165193 191493 212391 212770 235990 297878 319155 330386 353985 382986 424782 446817 495579 638310 707970 744695 825965 893634 957465 991158 1042573 1061955 1156351 1340451 1486737 1489390 1651930 1914930 2085146 2123910 2234085 2312702 2477895 2680902 2973474 3127719 3469053 4468170 4955790 5212865 5781755 6255438 6702255 6938106 7433685 9383157 10407159 10425730 11563510 13404510 14867370 15638595 17345265 18766314 20814318 31277190 34690530 46915785 52035795 93831570 104071590 502115923 1004231846 1506347769 2510579615 3012695538 3514811461 4519043307 5021159230 7029622922 7531738845 9038086614 10544434383 15063477690 17574057305 21088868766 22595216535 24603680227 31633303149 35148114610 45190433070 49207360454 52722171915 63266606298 73811040681 105444343830 123018401135 147622081362 158166515745 221433122043 246036802270 316333031490 369055203405 442866244086 738110406810 1107165610215 2214331220430