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12225585 = 3541103193
BaseRepresentation
bin101110101000…
…110000110001
3212000010100110
4232220300301
511112204320
61114011533
7205626051
oct56506061
925003313
1012225585
1169a0299
124116ba9
1326c0898
1418a3561
1511175e0
hexba8c31

12225585 has 32 divisors (see below), whose sum is σ = 20337408. Its totient is φ = 6266880.

The previous prime is 12225553. The next prime is 12225611. The reversal of 12225585 is 58552221.

It is not a de Polignac number, because 12225585 - 25 = 12225553 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63249 + ... + 63441.

It is an arithmetic number, because the mean of its divisors is an integer number (635544).

Almost surely, 212225585 is an apocalyptic number.

12225585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12225585 is a deficient number, since it is larger than the sum of its proper divisors (8111823).

12225585 is a wasteful number, since it uses less digits than its factorization.

12225585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its digits is 8000, while the sum is 30.

The square root of 12225585 is about 3496.5104032449. The cubic root of 12225585 is about 230.3685647156.

The spelling of 12225585 in words is "twelve million, two hundred twenty-five thousand, five hundred eighty-five".

Divisors: 1 3 5 15 41 103 123 193 205 309 515 579 615 965 1545 2895 4223 7913 12669 19879 21115 23739 39565 59637 63345 99395 118695 298185 815039 2445117 4075195 12225585