Search a number
-
+
12230528 = 271947107
BaseRepresentation
bin101110101001…
…111110000000
3212000101010112
4232221332000
511112334103
61114050452
7205646342
oct56517600
925011115
1012230528
1169a3a82
124119a28
1326c2bcb
1418a5292
151118cd8
hexba9f80

12230528 has 64 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 5617152.

The previous prime is 12230527. The next prime is 12230539. The reversal of 12230528 is 82503221.

12230528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114251 + ... + 114357.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 212230528 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 12230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

12230528 is an abundant number, since it is smaller than the sum of its proper divisors (14207872).

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

12230528 is a wasteful number, since it uses less digits than its factorization.

12230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12230528 is about 3497.2171794157. The cubic root of 12230528 is about 230.3996077668.

Adding to 12230528 its reverse (82503221), we get a palindrome (94733749).

The spelling of 12230528 in words is "twelve million, two hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 107 128 152 188 214 304 376 428 608 752 856 893 1216 1504 1712 1786 2033 2432 3008 3424 3572 4066 5029 6016 6848 7144 8132 10058 13696 14288 16264 20116 28576 32528 40232 57152 65056 80464 95551 114304 130112 160928 191102 260224 321856 382204 643712 764408 1528816 3057632 6115264 12230528