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222420123220041 = 3419376938345051
BaseRepresentation
bin110010100100101000111000…
…011011110111100001001001
31002011112011012210220021120000
4302210220320123313201021
5213123112403021020131
62105014221035153213
764564215666314505
oct6244507033674111
91064464183807500
10222420123220041
116496293209362a
1220b426152a5809
1397151875036b6
143ccd2972d3305
151aaa9d02a6ce6
hexca4a386f7849

222420123220041 has 40 divisors (see below), whose sum is σ = 349837247416800. Its totient is φ = 140438592244800.

The previous prime is 222420123220037. The next prime is 222420123220121. The reversal of 222420123220041 is 140022321024222.

222420123220041 is a `hidden beast` number, since 2 + 2 + 2 + 420 + 1 + 2 + 32 + 200 + 4 + 1 = 666.

It is not a de Polignac number, because 222420123220041 - 22 = 222420123220037 is a prime.

It is a super-2 number, since 2×2224201232200412 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222420123219987 and 222420123220014.

It is not an unprimeable number, because it can be changed into a prime (222420123220541) 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 39 ways as a sum of consecutive naturals, for example, 13372035 + ... + 24973016.

It is an arithmetic number, because the mean of its divisors is an integer number (8745931185420).

Almost surely, 2222420123220041 is an apocalyptic number.

It is an amenable number.

222420123220041 is a deficient number, since it is larger than the sum of its proper divisors (127417124196759).

222420123220041 is a wasteful number, since it uses less digits than its factorization.

222420123220041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38348851 (or 38348842 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 222420123220041 its reverse (140022321024222), we get a palindrome (362442444244263).

The spelling of 222420123220041 in words is "two hundred twenty-two trillion, four hundred twenty billion, one hundred twenty-three million, two hundred twenty thousand, forty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 3769 11307 33921 71611 101763 214833 305289 644499 1933497 5800491 38345051 115035153 345105459 728555969 1035316377 2185667907 3105949131 6557003721 19671011163 59013033489 144522497219 433567491657 1300702474971 2745927447161 3902107424913 8237782341483 11706322274739 24713347024449 74140041073347 222420123220041