Search a number
-
+
12230560 = 25576441
BaseRepresentation
bin101110101001…
…111110100000
3212000101011201
4232221332200
511112334220
61114050544
7205646416
oct56517640
925011151
1012230560
1169a4001
124119a54
1326c2c24
1418a52b6
151118d0a
hexba9fa0

12230560 has 24 divisors (see below), whose sum is σ = 28895076. Its totient is φ = 4892160.

The previous prime is 12230557. The next prime is 12230567. The reversal of 12230560 is 6503221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 2421136 = 3132^2 + 1556^2 .

It is not an unprimeable number, because it can be changed into a prime (12230567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38061 + ... + 38380.

Almost surely, 212230560 is an apocalyptic number.

12230560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230560 is an abundant number, since it is smaller than the sum of its proper divisors (16664516).

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

12230560 is an equidigital number, since it uses as much as digits as its factorization.

12230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76456 (or 76448 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 12230560 is about 3497.2217544788. The cubic root of 12230560 is about 230.3998087061.

Adding to 12230560 its reverse (6503221), we get a palindrome (18733781).

The spelling of 12230560 in words is "twelve million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 76441 152882 305764 382205 611528 764410 1223056 1528820 2446112 3057640 6115280 12230560