Search a number
-
+
12226304 = 28163293
BaseRepresentation
bin101110101000…
…111100000000
3212000011100002
4232220330000
511112220204
61114015132
7205631126
oct56507400
925004302
1012226304
1169a0892
1241174a8
1326c0ccc
1418a3916
15111791e
hexba8f00

12226304 has 36 divisors (see below), whose sum is σ = 24638376. Its totient is φ = 6054912.

The previous prime is 12226303. The next prime is 12226309. The reversal of 12226304 is 40362221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12226303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41582 + ... + 41874.

Almost surely, 212226304 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 12226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319188).

12226304 is an abundant number, since it is smaller than the sum of its proper divisors (12412072).

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

12226304 is an equidigital number, since it uses as much as digits as its factorization.

12226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12226304 is about 3496.6132185302. The cubic root of 12226304 is about 230.3730807027.

Adding to 12226304 its reverse (40362221), we get a palindrome (52588525).

The spelling of 12226304 in words is "twelve million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 163 256 293 326 586 652 1172 1304 2344 2608 4688 5216 9376 10432 18752 20864 37504 41728 47759 75008 95518 191036 382072 764144 1528288 3056576 6113152 12226304