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22020220330122 = 2372967782932213
BaseRepresentation
bin1010000000110111110110…
…11010010010000010001010
32212222010001000102112222110
411000123323122102002022
510341234402401030442
6114455541035003150
74431623405343510
oct500337332220212
985863030375873
1022020220330122
11701a7a5346153
1225777bb2994b6
13c39661a77791
14561ada3884b0
15282be310269c
hex1406fb69208a

22020220330122 has 128 divisors (see below), whose sum is σ = 52208946316800. Its totient is φ = 6058066000896.

The previous prime is 22020220330057. The next prime is 22020220330127. The reversal of 22020220330122 is 22103302202022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22020220330127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 683565688 + ... + 683597900.

It is an arithmetic number, because the mean of its divisors is an integer number (407882393100).

Almost surely, 222020220330122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22020220330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26104473158400).

22020220330122 is an abundant number, since it is smaller than the sum of its proper divisors (30188725986678).

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

22020220330122 is a wasteful number, since it uses less digits than its factorization.

22020220330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33760.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22020220330122 its reverse (22103302202022), we get a palindrome (44123522532144).

The spelling of 22020220330122 in words is "twenty-two trillion, twenty billion, two hundred twenty million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 677 829 1218 1354 1658 2031 2487 4062 4739 4974 5803 9478 11606 14217 17409 19633 24041 28434 32213 34818 39266 48082 58899 64426 72123 96639 117798 137431 144246 168287 193278 225491 274862 336574 412293 450982 504861 561233 676473 824586 934177 1009722 1122466 1352946 1683699 1868354 2802531 3367398 3928631 5605062 6539239 7857262 11785893 13078478 16275757 19617717 21808201 23571786 26704577 32551514 39235434 43616402 48827271 53409154 65424603 80113731 97654542 113930299 130849206 152657407 160227462 186932039 227860598 305314814 341790897 373864078 457972221 560796117 632437829 683581794 774432733 915944442 1121592234 1264875658 1548865466 1897313487 2323298199 3794626974 4427064803 4646596398 5421029131 8854129606 10842058262 13281194409 16263087393 18078998629 26562388818 32526174786 36157997258 54236995887 108473991774 126552990403 253105980806 379658971209 524290960241 759317942418 1048581920482 1572872880723 3145745761446 3670036721687 7340073443374 11010110165061 22020220330122