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12282288 = 24341792
BaseRepresentation
bin101110110110…
…100110110000
3212010000010120
4232312212300
511121013123
61115130240
7206253264
oct56664660
925100116
1012282288
116a29957
124143980
132710635
1418ba0a4
1511292e3
hexbb69b0

12282288 has 60 divisors (see below), whose sum is σ = 32919768. Its totient is φ = 3943680.

The previous prime is 12282269. The next prime is 12282311. The reversal of 12282288 is 88228221.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155433 + ... + 155511.

Almost surely, 212282288 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 12282288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459884).

12282288 is an abundant number, since it is smaller than the sum of its proper divisors (20637480).

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

12282288 is an equidigital number, since it uses as much as digits as its factorization.

12282288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 125 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 12282288 is about 3504.6095360254. The cubic root of 12282288 is about 230.7241699369.

The spelling of 12282288 in words is "twelve million, two hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 79 82 123 158 164 237 246 316 328 474 492 632 656 948 984 1264 1896 1968 3239 3792 6241 6478 9717 12482 12956 18723 19434 24964 25912 37446 38868 49928 51824 74892 77736 99856 149784 155472 255881 299568 511762 767643 1023524 1535286 2047048 3070572 4094096 6141144 12282288