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12823218 = 233237467
BaseRepresentation
bin110000111010…
…101010110010
3220010111011000
4300322222302
511240320333
61134502430
7213665322
oct60725262
926114130
1012823218
117269301
124364a16
13286c905
1419bb282
1511d4713
hexc3aab2

12823218 has 16 divisors (see below), whose sum is σ = 28496160. Its totient is φ = 4274388.

The previous prime is 12823211. The next prime is 12823229. The reversal of 12823218 is 81232821.

12823218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12823191 and 12823200.

It is not an unprimeable number, because it can be changed into a prime (12823211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118680 + ... + 118787.

It is an arithmetic number, because the mean of its divisors is an integer number (1781010).

Almost surely, 212823218 is an apocalyptic number.

12823218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12823218 is an abundant number, since it is smaller than the sum of its proper divisors (15672942).

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

12823218 is a wasteful number, since it uses less digits than its factorization.

12823218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237478 (or 237472 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12823218 is about 3580.9521080294. The cubic root of 12823218 is about 234.0627707999.

It can be divided in two parts, 12823 and 218, that added together give a triangular number (13041 = T161).

The spelling of 12823218 in words is "twelve million, eight hundred twenty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 237467 474934 712401 1424802 2137203 4274406 6411609 12823218