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12226312 = 2371092003
BaseRepresentation
bin101110101000…
…111100001000
3212000011100101
4232220330020
511112220222
61114015144
7205631140
oct56507410
925004311
1012226312
1169a089a
1241174b4
1326c1007
1418a3920
151117927
hexba8f08

12226312 has 32 divisors (see below), whose sum is σ = 26452800. Its totient is φ = 5189184.

The previous prime is 12226309. The next prime is 12226321. The reversal of 12226312 is 21362221.

It is a self number, because there is not a number n which added to its sum of digits gives 12226312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5103 + ... + 7105.

It is an arithmetic number, because the mean of its divisors is an integer number (826650).

Almost surely, 212226312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226400).

12226312 is an abundant number, since it is smaller than the sum of its proper divisors (14226488).

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

12226312 is a wasteful number, since it uses less digits than its factorization.

12226312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 12226312 is about 3496.6143624941. The cubic root of 12226312 is about 230.3731309491.

Adding to 12226312 its reverse (21362221), we get a palindrome (33588533).

The spelling of 12226312 in words is "twelve million, two hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 109 218 436 763 872 1526 2003 3052 4006 6104 8012 14021 16024 28042 56084 112168 218327 436654 873308 1528289 1746616 3056578 6113156 12226312