Search a number
-
+
12223728 = 2432117717
BaseRepresentation
bin101110101000…
…010011110000
3212000000210200
4232220103300
511112124403
61113555200
7205620456
oct56502360
925000720
1012223728
116999960
124115b00
1326bca9a
1418a29d6
151116ca3
hexba84f0

12223728 has 60 divisors (see below), whose sum is σ = 37324248. Its totient is φ = 3703680.

The previous prime is 12223721. The next prime is 12223751. The reversal of 12223728 is 82732221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223721) 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, 2275 + ... + 5442.

Almost surely, 212223728 is an apocalyptic number.

12223728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12223728 is an abundant number, since it is smaller than the sum of its proper divisors (25100520).

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

12223728 is a wasteful number, since it uses less digits than its factorization.

12223728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7733 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12223728 is about 3496.2448426848. The cubic root of 12223728 is about 230.3569002135.

Adding to 12223728 its reverse (82732221), we get a palindrome (94955949).

It can be divided in two parts, 122237 and 28, that added together give a triangular number (122265 = T494).

The spelling of 12223728 in words is "twelve million, two hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7717 15434 23151 30868 46302 61736 69453 84887 92604 123472 138906 169774 185208 254661 277812 339548 370416 509322 555624 679096 763983 1018644 1111248 1358192 1527966 2037288 3055932 4074576 6111864 12223728