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22122112221 = 3211239934961
BaseRepresentation
bin10100100110100101…
…001010010011011101
32010002201122201221200
4110212211022103131
5330301230042341
614055053350113
71412130564666
oct244645122335
963081581850
1022122112221
1194223a0380
124354798339
132117238441
1410dc08a36d
158971eedb6
hex52694a4dd

22122112221 has 24 divisors (see below), whose sum is σ = 35004977280. Its totient is φ = 13351228800.

The previous prime is 22122112183. The next prime is 22122112237. The reversal of 22122112221 is 12221122122.

It is a happy number.

22122112221 is a `hidden beast` number, since 221 + 221 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 22122112221 - 210 = 22122111197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22122112194 and 22122112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122112321) 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 23 ways as a sum of consecutive naturals, for example, 443820 + ... + 491141.

It is an arithmetic number, because the mean of its divisors is an integer number (1458540720).

Almost surely, 222122112221 is an apocalyptic number.

It is an amenable number.

22122112221 is a deficient number, since it is larger than the sum of its proper divisors (12882865059).

22122112221 is a wasteful number, since it uses less digits than its factorization.

22122112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935217 (or 935214 counting only the distinct ones).

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

Adding to 22122112221 its reverse (12221122122), we get a palindrome (34343234343).

Subtracting from 22122112221 its reverse (12221122122), we obtain a palindrome (9900990099).

The spelling of 22122112221 in words is "twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 239 717 2151 2629 7887 23661 934961 2804883 8414649 10284571 30853713 92561139 223455679 670367037 2011101111 2458012469 7374037407 22122112221