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22135005605 = 519212263161
BaseRepresentation
bin10100100111010110…
…010110000110100101
32010010121220210100102
4110213112112012211
5330313030134410
614100233553445
71412345305016
oct244726260645
963117823312
1022135005605
1194296a7369
124358b75885
132119b00c6b
1410dda8500d
158983ea2a5
hex5275961a5

22135005605 has 12 divisors (see below), whose sum is σ = 28033588332. Its totient is φ = 16776002880.

The previous prime is 22135005593. The next prime is 22135005617. The reversal of 22135005605 is 50650053122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22135005593) and next prime (22135005617).

It can be written as a sum of positive squares in 2 ways, for example, as 14542671649 + 7592333956 = 120593^2 + 87134^2 .

It is not a de Polignac number, because 22135005605 - 24 = 22135005589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6129776 + ... + 6133385.

It is an arithmetic number, because the mean of its divisors is an integer number (2336132361).

Almost surely, 222135005605 is an apocalyptic number.

It is an amenable number.

22135005605 is a deficient number, since it is larger than the sum of its proper divisors (5898582727).

22135005605 is a wasteful number, since it uses less digits than its factorization.

22135005605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12263204 (or 12263185 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 22135005605 its reverse (50650053122), we get a palindrome (72785058727).

The spelling of 22135005605 in words is "twenty-two billion, one hundred thirty-five million, five thousand, six hundred five".

Divisors: 1 5 19 95 361 1805 12263161 61315805 233000059 1165000295 4427001121 22135005605