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221422122401730 = 235227317460322283
BaseRepresentation
bin110010010110000111011010…
…111100110111111111000010
31002000222202012102021210210020
4302112013122330313333002
5213010240001313323410
62102531530242114310
764432135415321505
oct6226073274677702
91060882172253706
10221422122401730
116460865a6a6508
1220a0111094b996
13967202a486903
143c96c605b113c
151a8ea6e2e0a70
hexc961daf37fc2

221422122401730 has 128 divisors (see below), whose sum is σ = 535578245434368. Its totient is φ = 58584980942592.

The previous prime is 221422122401659. The next prime is 221422122401803. The reversal of 221422122401730 is 37104221224122.

It is a junction number, because it is equal to n+sod(n) for n = 221422122401691 and 221422122401700.

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, 9936807169 + ... + 9936829451.

It is an arithmetic number, because the mean of its divisors is an integer number (4184205042456).

Almost surely, 2221422122401730 is an apocalyptic number.

221422122401730 is an abundant number, since it is smaller than the sum of its proper divisors (314156123032638).

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

221422122401730 is a wasteful number, since it uses less digits than its factorization.

221422122401730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27440.

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 221422122401730 its reverse (37104221224122), we get a palindrome (258526343625852).

The spelling of 221422122401730 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, one hundred twenty-two million, four hundred one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 227 317 454 634 681 951 1135 1362 1585 1902 2270 3170 3405 4603 4755 6810 9206 9510 13809 22283 23015 27618 44566 46030 66849 69045 71959 111415 133698 138090 143918 215877 222830 334245 359795 431754 668490 719590 1044881 1079385 1459151 2089762 2158770 2918302 3134643 4377453 5058241 5224405 6269286 7063711 7295755 8754906 10116482 10448810 14127422 14591510 15174723 15673215 21191133 21887265 25291205 30349446 31346430 35318555 42382266 43774530 50582410 70637110 75873615 102568649 105955665 151747230 205137298 211911330 307705947 331227277 512843245 615411894 662454554 993681831 1025686490 1538529735 1603462397 1656136385 1987363662 3077059470 3206924794 3312272770 4810387191 4968409155 8017311985 9620774382 9936818310 16034623970 23283083323 24051935955 32514261733 46566166646 48103871910 65028523466 69849249969 97542785199 116415416615 139698499938 162571308665 195085570398 232830833230 325142617330 349246249845 487713925995 698492499690 975427851990 7380737413391 14761474826782 22142212240173 36903687066955 44284424480346 73807374133910 110711061200865 221422122401730