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22002222021012 = 223231433311385179
BaseRepresentation
bin1010000000010110010101…
…01000001011100110010100
32212220101120200102201102100
411000023022220023212110
510340441022314133022
6114443403052442100
74430415400263222
oct500131250134624
985811520381370
1022002222021012
1170130a9809122
122574217779330
13c37a53cb9a2c
14560cadc7bb12
152824dce801ac
hex1402caa0b994

22002222021012 has 144 divisors (see below), whose sum is σ = 58923473889280. Its totient is φ = 6911484148800.

The previous prime is 22002222020971. The next prime is 22002222021041. The reversal of 22002222021012 is 21012022220022.

22002222021012 is a `hidden beast` number, since 2 + 200 + 22 + 220 + 210 + 12 = 666.

22002222021012 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15191439 + ... + 16576617.

Almost surely, 222002222021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002222021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29461736944640).

22002222021012 is an abundant number, since it is smaller than the sum of its proper divisors (36921251868268).

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

22002222021012 is a wasteful number, since it uses less digits than its factorization.

22002222021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385594 (or 1385589 counting only the distinct ones).

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

Adding to 22002222021012 its reverse (21012022220022), we get a palindrome (43014244241034).

The spelling of 22002222021012 in words is "twenty-two trillion, two billion, two hundred twenty-two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 331 372 387 516 558 662 774 993 1116 1324 1333 1548 1986 2666 2979 3972 3999 5332 5958 7998 10261 11916 11997 14233 15996 20522 23994 28466 30783 41044 42699 47988 56932 61566 85398 92349 123132 128097 170796 184698 256194 369396 441223 512388 882446 1323669 1385179 1764892 2647338 2770358 3971007 4155537 5294676 5540716 7942014 8311074 12466611 15884028 16622148 24933222 42940549 49866444 59562697 85881098 119125394 128821647 171762196 178688091 238250788 257643294 357376182 386464941 458494249 515286588 536064273 714752364 772929882 916988498 1072128546 1375482747 1545859764 1833976996 1846443607 2144257092 2750965494 3692887214 4126448241 5501930988 5539330821 7385774428 8252896482 11078661642 14213321719 16505792964 16617992463 19715252707 22157323284 28426643438 33235984926 39430505414 42639965157 56853286876 59145758121 66471969852 78861010828 85279930314 118291516242 127919895471 170559860628 177437274363 236583032484 255839790942 354874548726 511679581884 611172833917 709749097452 1222345667834 1833518501751 2444691335668 3667037003502 5500555505253 7334074007004 11001111010506 22002222021012