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22012022021022 = 232111756713115309
BaseRepresentation
bin1010000000101000100101…
…10000001101101110011110
32212221022212122212022010200
411000110102300031232132
510341121110114133042
6114452103332444330
74431213266020635
oct500242260155636
985838778768120
1022012022021022
117017278640190
1225760b17796a6
13c3895641cbc7
1456155d61c51c
152828b34d3c4c
hex140512c0db9e

22012022021022 has 96 divisors (see below), whose sum is σ = 55090359848160. Its totient is φ = 6277773404160.

The previous prime is 22012022020943. The next prime is 22012022021047.

22012022021022 is a `hidden beast` number, since 220 + 12 + 0 + 220 + 210 + 2 + 2 = 666.

22012022021022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×220120220210222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22012022020986 and 22012022021004.

It is a congruent number.

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, 190838304 + ... + 190953612.

It is an arithmetic number, because the mean of its divisors is an integer number (573857915085).

Almost surely, 222012022021022 is an apocalyptic number.

22012022021022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22012022021022 is an abundant number, since it is smaller than the sum of its proper divisors (33078337827138).

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

22012022021022 is a wasteful number, since it uses less digits than its factorization.

22012022021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172058 (or 172055 counting only the distinct ones).

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

It can be divided in two parts, 2201202 and 2021022, that added together give a palindrome (4222224).

The spelling of 22012022021022 in words is "twenty-two trillion, twelve billion, twenty-two million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 56713 113426 115309 170139 230618 340278 345927 510417 623843 691854 964121 1020834 1037781 1247686 1268399 1871529 1928242 1960253 2075562 2536798 2892363 3743058 3805197 3920506 5614587 5784726 5880759 7610394 8677089 10605331 11229174 11415591 11761518 17354178 17642277 21210662 21562783 22831182 31815993 35284554 43125566 63631986 64688349 95447979 129376698 190895958 194065047 388130094 6539519317 13079038634 19618557951 39237115902 58855673853 71934712487 111171828389 117711347706 143869424974 215804137461 222343656778 333515485167 431608274922 647412412383 667030970334 1000546455501 1222890112279 1294824824766 2001092911002 2445780224558 3668670336837 7337340673674 11006011010511 22012022021022