Search a number
-
+
12233536 = 26724783
BaseRepresentation
bin101110101010…
…101101000000
3212000112020221
4232222231000
511112433121
61114112424
7205661200
oct56525500
925015227
1012233536
1169a6267
12411b714
1326c43a3
1418a6400
151119b41
hexbaab40

12233536 has 84 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 5069568.

The previous prime is 12233527. The next prime is 12233537. The reversal of 12233536 is 63533221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12233536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233537) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 147351 + ... + 147433.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 212233536 is an apocalyptic number.

12233536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

12233536 is an abundant number, since it is smaller than the sum of its proper divisors (16954112).

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

12233536 is an equidigital number, since it uses as much as digits as its factorization.

12233536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its digits is 3240, while the sum is 25.

The square root of 12233536 is about 3497.6472091965. The cubic root of 12233536 is about 230.4184945288.

Adding to 12233536 its reverse (63533221), we get a palindrome (75766757).

It can be divided in two parts, 12233 and 536, that added together give a square (12769 = 1132).

The spelling of 12233536 in words is "twelve million, two hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 83 94 98 112 166 188 196 224 329 332 376 392 448 581 658 664 752 784 1162 1316 1328 1504 1568 2303 2324 2632 2656 3008 3136 3901 4067 4606 4648 5264 5312 7802 8134 9212 9296 10528 15604 16268 18424 18592 21056 27307 31208 32536 36848 37184 54614 62416 65072 73696 109228 124832 130144 147392 191149 218456 249664 260288 382298 436912 764596 873824 1529192 1747648 3058384 6116768 12233536