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12257208 = 2332170239
BaseRepresentation
bin101110110000…
…011110111000
3212001201201200
4232300132320
511114212313
61114414200
7206120205
oct56603670
925051650
1012257208
116a12027
124131360
1327020b2
1418b0cac
151121b73
hexbb07b8

12257208 has 24 divisors (see below), whose sum is σ = 33196800. Its totient is φ = 4085712.

The previous prime is 12257173. The next prime is 12257213. The reversal of 12257208 is 80275221.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 85048 + ... + 85191.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 212257208 is an apocalyptic number.

12257208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12257208 is an abundant number, since it is smaller than the sum of its proper divisors (20939592).

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

12257208 is a wasteful number, since it uses less digits than its factorization.

12257208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170251 (or 170244 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12257208 is about 3501.0295628572. The cubic root of 12257208 is about 230.5670193770.

The spelling of 12257208 in words is "twelve million, two hundred fifty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 170239 340478 510717 680956 1021434 1361912 1532151 2042868 3064302 4085736 6128604 12257208