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22212022202001 = 3429101415922511
BaseRepresentation
bin1010000110011101000111…
…01100010110111010010001
32220122110010000111011220000
411003032203230112322101
510402410210140431001
6115124021230440213
74451523421350402
oct503164354267221
986573100434800
1022212022202001
11709407a515355
1225a8a09363069
13c5177a7a3568
1456b0d37499a9
15287bbb991a86
hex1433a3b16e91

22212022202001 has 80 divisors (see below), whose sum is σ = 34674819379200. Its totient is φ = 14151802896000.

The previous prime is 22212022201991. The next prime is 22212022202003. The reversal of 22212022202001 is 10020222021222.

22212022202001 is a `hidden beast` number, since 2 + 221 + 20 + 2 + 220 + 200 + 1 = 666.

It is not a de Polignac number, because 22212022202001 - 211 = 22212022199953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22212022202003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 986707336 + ... + 986729846.

It is an arithmetic number, because the mean of its divisors is an integer number (433435242240).

Almost surely, 222212022202001 is an apocalyptic number.

It is an amenable number.

22212022202001 is a deficient number, since it is larger than the sum of its proper divisors (12462797177199).

22212022202001 is a wasteful number, since it uses less digits than its factorization.

22212022202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26812 (or 26803 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22212022202001 its reverse (10020222021222), we get a palindrome (32232244223223).

The spelling of 22212022202001 in words is "twenty-two trillion, two hundred twelve billion, twenty-two million, two hundred two thousand, one".

Divisors: 1 3 9 27 29 81 87 101 261 303 783 909 2349 2727 2929 4159 8181 8787 12477 22511 26361 37431 67533 79083 112293 120611 202599 237249 336879 361833 420059 607797 652819 1085499 1260177 1823391 1958457 2273611 3256497 3780531 5875371 6820833 9769491 11341593 12181711 17626113 20462499 34024779 36545133 52878339 61387497 65934719 93623249 109635399 184162491 197804157 280869747 328906197 593412471 842609241 986718591 1780237413 2527827723 2715074221 5340712239 7583483169 8145222663 9455948149 24435667989 28367844447 73307003967 85103533341 219921011901 255310600023 274222496321 765931800069 822667488963 2468002466889 7404007400667 22212022202001