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22220110101222 = 23311474091945981
BaseRepresentation
bin1010000110101100001011…
…10001001111101011100110
32220200012222200022000212000
411003112011301033223212
510403023241141214342
6115131435550310130
74452231020353455
oct503260561175346
986605880260760
1022220110101222
11709754a969790
1225aa4a5ab8346
13c524692b1347
1456b65d974b9c
15287ee1a5144c
hex143585c4fae6

22220110101222 has 128 divisors (see below), whose sum is σ = 55147573094400. Its totient is φ = 6573987475200.

The previous prime is 22220110101221. The next prime is 22220110101223. The reversal of 22220110101222 is 22210101102222.

It is a happy number.

22220110101222 is a `hidden beast` number, since 222 + 201 + 10 + 10 + 1 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (22220110101221) and next prime (22220110101223).

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 = 22220110101195 and 22220110101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220110101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10445472 + ... + 12391452.

It is an arithmetic number, because the mean of its divisors is an integer number (430840414800).

Almost surely, 222220110101222 is an apocalyptic number.

22220110101222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220110101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573786547200).

22220110101222 is an abundant number, since it is smaller than the sum of its proper divisors (32927462993178).

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

22220110101222 is a wasteful number, since it uses less digits than its factorization.

22220110101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946459 (or 1946453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22220110101222 its reverse (22210101102222), we get a palindrome (44430211203444).

The spelling of 22220110101222 in words is "twenty-two trillion, two hundred twenty billion, one hundred ten million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 409 423 517 594 818 846 1034 1227 1269 1551 2454 2538 3102 3681 4499 4653 7362 8998 9306 11043 13497 13959 19223 22086 26994 27918 38446 40491 57669 80982 115338 121473 173007 211453 242946 346014 422906 519021 634359 1038042 1268718 1903077 1945981 3806154 3891962 5709231 5837943 11418462 11675886 17513829 21405791 35027658 42811582 52541487 64217373 91461107 105082974 128434746 182922214 192652119 274383321 385304238 548766642 577956357 795906229 823149963 1006072177 1155912714 1591812458 1646299926 2012144354 2387718687 2469449889 3018216531 4775437374 4938899778 6036433062 7163156061 8754968519 9054649593 14326312122 17509937038 18109299186 21489468183 26264905557 27163948779 37407592763 42978936366 52529811114 54327897558 74815185526 78794716671 112222778289 157589433342 224445556578 236384150013 336668334867 411483520393 472768300026 673336669734 822967040786 1010005004601 1234450561179 2020010009202 2468901122358 3703351683537 7406703367074 11110055050611 22220110101222