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12275235 = 3257219293
BaseRepresentation
bin101110110100…
…111000100011
3212002122110100
4232310320203
511120301420
61115033443
7206223600
oct56647043
925078410
1012275235
116a24625
12413b883
13270a36b
1418b76a7
151127190
hexbb4e23

12275235 has 72 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 5298048.

The previous prime is 12275233. The next prime is 12275269. The reversal of 12275235 is 53257221.

12275235 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 12275235 - 21 = 12275233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12275199 and 12275208.

It is not an unprimeable number, because it can be changed into a prime (12275233) 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 71 ways as a sum of consecutive naturals, for example, 41749 + ... + 42041.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 212275235 is an apocalyptic number.

12275235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12275235 is an abundant number, since it is smaller than the sum of its proper divisors (13867245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12275235 is a wasteful number, since it uses less digits than its factorization.

12275235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

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

The square root of 12275235 is about 3503.6031453348. The cubic root of 12275235 is about 230.6799976796.

It can be divided in two parts, 122 and 75235, that added together give a palindrome (75357).

The spelling of 12275235 in words is "twelve million, two hundred seventy-five thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 293 315 399 441 665 735 855 879 931 1197 1465 1995 2051 2205 2637 2793 4395 4655 5567 5985 6153 8379 10255 13185 13965 14357 16701 18459 27835 30765 38969 41895 43071 50103 71785 83505 92295 116907 129213 194845 215355 250515 272783 350721 584535 646065 818349 1363915 1753605 2455047 4091745 12275235