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12235257 = 3217211379
BaseRepresentation
bin101110101011…
…000111111001
3212000121121200
4232223013321
511113012012
61114124413
7205666206
oct56530771
925017550
1012235257
1169a7591
124120709
1326c50c8
1418a6cad
15111a3dc
hexbab1f9

12235257 has 24 divisors (see below), whose sum is σ = 18851040. Its totient is φ = 7620480.

The previous prime is 12235253. The next prime is 12235277. The reversal of 12235257 is 75253221.

12235257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12235257 - 22 = 12235253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12235257.

It is not an unprimeable number, because it can be changed into a prime (12235253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32094 + ... + 32472.

It is an arithmetic number, because the mean of its divisors is an integer number (785460).

Almost surely, 212235257 is an apocalyptic number.

12235257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12235257 is a deficient number, since it is larger than the sum of its proper divisors (6615783).

12235257 is a wasteful number, since it uses less digits than its factorization.

12235257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 610 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 12235257 is about 3497.8932230701. The cubic root of 12235257 is about 230.4292990265.

Adding to 12235257 its reverse (75253221), we get a palindrome (87488478).

The spelling of 12235257 in words is "twelve million, two hundred thirty-five thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 51 153 211 379 633 1137 1899 3411 3587 6443 10761 19329 32283 57987 79969 239907 719721 1359473 4078419 12235257