Search a number
-
+
12229168 = 247137797
BaseRepresentation
bin101110101001…
…101000110000
3212000022021011
4232221220300
511112313133
61114040304
7205642360
oct56515060
925008234
1012229168
1169a2a56
124119094
1326c23c3
1418a49a0
1511186cd
hexba9a30

12229168 has 40 divisors (see below), whose sum is σ = 27310752. Its totient is φ = 5196288.

The previous prime is 12229153. The next prime is 12229177. The reversal of 12229168 is 86192221.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14946 + ... + 15742.

Almost surely, 212229168 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 12229168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655376).

12229168 is an abundant number, since it is smaller than the sum of its proper divisors (15081584).

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

12229168 is a wasteful number, since it uses less digits than its factorization.

12229168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 12229168 is about 3497.0227336979. The cubic root of 12229168 is about 230.3910675228.

The spelling of 12229168 in words is "twelve million, two hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 797 959 1096 1594 1918 2192 3188 3836 5579 6376 7672 11158 12752 15344 22316 44632 89264 109189 218378 436756 764323 873512 1528646 1747024 3057292 6114584 12229168