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22202020210212 = 223217371549632977
BaseRepresentation
bin1010000110001010011111…
…00001110010011000100100
32220121111021221222100112200
411003011033201302120210
510402224214133211322
6115115244533214500
74451020521001443
oct503051741623044
986544257870480
1022202020210212
11708a90766a937
1225a6a97791430
13c5084556961b
1456a825228d5a
152877d383d8ac
hex14314f872624

22202020210212 has 144 divisors (see below), whose sum is σ = 61068578079600. Its totient is φ = 6772701413376.

The previous prime is 22202020210207. The next prime is 22202020210241. The reversal of 22202020210212 is 21201202020222.

22202020210212 is a `hidden beast` number, since 2 + 220 + 2 + 0 + 20 + 210 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3797096520996 + 18404923689216 = 1948614^2 + 4290096^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34759068 + ... + 35392044.

It is an arithmetic number, because the mean of its divisors is an integer number (424087347775).

Almost surely, 222202020210212 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 22202020210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30534289039800).

22202020210212 is an abundant number, since it is smaller than the sum of its proper divisors (38866557869388).

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

22202020210212 is a wasteful number, since it uses less digits than its factorization.

22202020210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634590 (or 634585 counting only the distinct ones).

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

Adding to 22202020210212 its reverse (21201202020222), we get a palindrome (43403222230434).

The spelling of 22202020210212 in words is "twenty-two trillion, two hundred two billion, twenty million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1549 1887 2516 3098 3774 4647 5661 6196 7548 9294 11322 13941 18588 22644 26333 27882 52666 55764 57313 78999 105332 114626 157998 171939 229252 236997 315996 343878 473994 515817 632977 687756 947988 974321 1031634 1265954 1898931 1948642 2063268 2531908 2922963 3797862 3897284 5696793 5845926 7595724 8768889 10760609 11393586 11691852 17537778 21521218 22787172 23420149 32281827 35075556 43042436 46840298 64563654 70260447 93680596 96845481 129127308 140520894 193690962 210781341 281041788 387381924 398142533 421562682 796285066 843125364 980481373 1194427599 1592570132 1960962746 2388855198 2941444119 3583282797 3921925492 4777710396 5882888238 7166565594 8824332357 11765776476 14333131188 16668183341 17648664714 33336366682 35297329428 36277810801 50004550023 66672733364 72555621602 100009100046 108833432403 145111243204 150013650069 200018200092 217666864806 300027300138 326500297209 435333729612 600054600276 616722783617 653000594418 1233445567234 1306001188836 1850168350851 2466891134468 3700336701702 5550505052553 7400673403404 11101010105106 22202020210212