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12213585 = 34553569
BaseRepresentation
bin101110100101…
…110101010001
3211222111220000
4232211311101
511111313320
61113440213
7205546056
oct56456521
924874800
1012213585
11699227a
124110069
1326b8297
14189d02d
151113c90
hexba5d51

12213585 has 40 divisors (see below), whose sum is σ = 22346280. Its totient is φ = 6379776.

The previous prime is 12213583. The next prime is 12213587. The reversal of 12213585 is 58531221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12213583) and next prime (12213587).

It can be written as a sum of positive squares in 4 ways, for example, as 762129 + 11451456 = 873^2 + 3384^2 .

It is not a de Polignac number, because 12213585 - 21 = 12213583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12213583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21181 + ... + 21749.

It is an arithmetic number, because the mean of its divisors is an integer number (558657).

It is a vampire number, since it can be written as 23855121 (with its own digits).

Almost surely, 212213585 is an apocalyptic number.

12213585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12213585 is a deficient number, since it is larger than the sum of its proper divisors (10132695).

12213585 is an equidigital number, since it uses as much as digits as its factorization.

12213585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12213585 is about 3494.7939853445. The cubic root of 12213585 is about 230.2931674308.

The spelling of 12213585 in words is "twelve million, two hundred thirteen thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 265 405 477 569 795 1431 1707 2385 2845 4293 5121 7155 8535 15363 21465 25605 30157 46089 76815 90471 150785 230445 271413 452355 814239 1357065 2442717 4071195 12213585