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22122210105 = 34554622741
BaseRepresentation
bin10100100110100101…
…100010001100111001
32010002201211201020000
4110212211202030321
5330301241210410
614055055423213
71412131453242
oct244645421471
963081751200
1022122210105
119422457976
124354824b09
132117270b68
1410dc0b3cc9
1589721ddc0
hex526962339

22122210105 has 20 divisors (see below), whose sum is σ = 39656110692. Its totient is φ = 11798511840.

The previous prime is 22122210079. The next prime is 22122210107. The reversal of 22122210105 is 50101222122.

It can be written as a sum of positive squares in 2 ways, for example, as 13885558569 + 8236651536 = 117837^2 + 90756^2 .

It is not a de Polignac number, because 22122210105 - 28 = 22122209849 is a prime.

It is a super-2 number, since 2×221222101052 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22122210107) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27310966 + ... + 27311775.

Almost surely, 222122210105 is an apocalyptic number.

It is an amenable number.

22122210105 is a deficient number, since it is larger than the sum of its proper divisors (17533900587).

22122210105 is an equidigital number, since it uses as much as digits as its factorization.

22122210105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54622758 (or 54622749 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 22122210105 its reverse (50101222122), we get a palindrome (72223432227).

The spelling of 22122210105 in words is "twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 54622741 163868223 273113705 491604669 819341115 1474814007 2458023345 4424442021 7374070035 22122210105