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12266226 = 2327671453
BaseRepresentation
bin101110110010…
…101011110010
3212002012002200
4232302223302
511120004401
61114524030
7206155410
oct56625362
925065080
1012266226
116a18885
124136616
13270622b
1418b42b0
151124686
hexbb2af2

12266226 has 48 divisors (see below), whose sum is σ = 30848064. Its totient is φ = 3449952.

The previous prime is 12266213. The next prime is 12266237. The reversal of 12266226 is 62266221.

12266226 is a `hidden beast` number, since 12 + 26 + 622 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12266226.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7716 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (642668).

Almost surely, 212266226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12266226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424032).

12266226 is an abundant number, since it is smaller than the sum of its proper divisors (18581838).

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

12266226 is a wasteful number, since it uses less digits than its factorization.

12266226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1532 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 12266226 is about 3502.3172329188. The cubic root of 12266226 is about 230.6235505670.

The spelling of 12266226 in words is "twelve million, two hundred sixty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 1453 2814 2906 4221 4359 8442 8718 10171 13077 20342 26154 30513 61026 91539 97351 183078 194702 292053 584106 681457 876159 1362914 1752318 2044371 4088742 6133113 12266226