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22012010112222 = 2351319118240919
BaseRepresentation
bin1010000000101000100100…
…00010110010010011011110
32212221022211211110021100000
411000110102002302103132
510341121044042042342
6114452102225315130
74431213062551254
oct500242202622336
985838754407300
1022012010112222
1170172719469a9
1225760a9795aa6
13c38953b10590
1456155bbdc5d4
152828b243044c
hex1405120b24de

22012010112222 has 96 divisors (see below), whose sum is σ = 53542499512320. Its totient is φ = 6737465472480.

The previous prime is 22012010112221. The next prime is 22012010112271. The reversal of 22012010112222 is 22221101021022.

It is a happy number.

22012010112222 is a `hidden beast` number, since 220 + 120 + 101 + 1 + 2 + 222 = 666.

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 = 22012010112195 and 22012010112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012010112221) by changing a digit.

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, 7913722 + ... + 10327197.

It is an arithmetic number, because the mean of its divisors is an integer number (557734369920).

Almost surely, 222012010112222 is an apocalyptic number.

22012010112222 is an abundant number, since it is smaller than the sum of its proper divisors (31530489400098).

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

22012010112222 is a wasteful number, since it uses less digits than its factorization.

22012010112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18241140 (or 18241128 counting only the distinct ones).

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

Adding to 22012010112222 its reverse (22221101021022), we get a palindrome (44233111133244).

The spelling of 22012010112222 in words is "twenty-two trillion, twelve billion, ten million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 191 234 243 351 382 486 573 702 1053 1146 1719 2106 2483 3159 3438 4966 5157 6318 7449 10314 14898 15471 22347 30942 44694 46413 67041 92826 134082 201123 402246 603369 1206738 18240919 36481838 54722757 109445514 164168271 237131947 328336542 474263894 492504813 711395841 985009626 1422791682 1477514439 2134187523 2955028878 3484015529 4268375046 4432543317 6402562569 6968031058 8865086634 10452046587 12805125138 19207687707 20904093174 31356139761 38415375414 45292201877 57623063121 62712279522 90584403754 94068419283 115246126242 135876605631 188136838566 271753211262 282205257849 407629816893 564410515698 815259633786 846615773547 1222889450679 1693231547094 2445778901358 3668668352037 7337336704074 11006005056111 22012010112222