Search a number
-
+
12227616 = 253242457
BaseRepresentation
bin101110101001…
…010000100000
3212000020010200
4232221100200
511112240431
61114025200
7205635012
oct56512040
925006120
1012227616
1169a1875
124118200
1326c179b
1418a41b2
151117ee6
hexba9420

12227616 has 36 divisors (see below), whose sum is σ = 34773102. Its totient is φ = 4075776.

The previous prime is 12227599. The next prime is 12227623. The reversal of 12227616 is 61672221.

12227616 is a `hidden beast` number, since 1 + 22 + 27 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 4410000 = 2796^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12227616.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20941 + ... + 21516.

Almost surely, 212227616 is an apocalyptic number.

12227616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12227616 is an abundant number, since it is smaller than the sum of its proper divisors (22545486).

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

12227616 is a wasteful number, since it uses less digits than its factorization.

12227616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42473 (or 42462 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12227616 is about 3496.8008236101. The cubic root of 12227616 is about 230.3813208236.

Adding to 12227616 its reverse (61672221), we get a palindrome (73899837).

The spelling of 12227616 in words is "twelve million, two hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42457 84914 127371 169828 254742 339656 382113 509484 679312 764226 1018968 1358624 1528452 2037936 3056904 4075872 6113808 12227616