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22112221221 = 3223310544693
BaseRepresentation
bin10100100101111111…
…011011100000100101
32010002001001020001100
4110211333123200211
5330241212034341
614054101350313
71411650531156
oct244577334045
963061036040
1022112221221
1194178550a2
124351408399
13211518438c
1410daa3392d
158963e93b6
hex525fdb825

22112221221 has 12 divisors (see below), whose sum is σ = 32076959148. Its totient is φ = 14678211264.

The previous prime is 22112221217. The next prime is 22112221231. The reversal of 22112221221 is 12212221122.

It is a happy number.

22112221221 is a `hidden beast` number, since 221 + 1 + 2 + 221 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4259520225 + 17852700996 = 65265^2 + 133614^2 .

It is not a de Polignac number, because 22112221221 - 22 = 22112221217 is a prime.

It is a super-3 number, since 3×221122212213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22112221194 and 22112221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112221231) 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 11 ways as a sum of consecutive naturals, for example, 5270250 + ... + 5274443.

It is an arithmetic number, because the mean of its divisors is an integer number (2673079929).

Almost surely, 222112221221 is an apocalyptic number.

It is an amenable number.

22112221221 is a deficient number, since it is larger than the sum of its proper divisors (9964737927).

22112221221 is a wasteful number, since it uses less digits than its factorization.

22112221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544932 (or 10544929 counting only the distinct ones).

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

Adding to 22112221221 its reverse (12212221122), we get a palindrome (34324442343).

Subtracting from 22112221221 its reverse (12212221122), we obtain a palindrome (9900000099).

The spelling of 22112221221 in words is "twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 233 699 2097 10544693 31634079 94902237 2456913469 7370740407 22112221221