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218142 = 23212119
BaseRepresentation
bin110101010000011110
3102002020100
4311100132
523440032
64401530
71565661
oct652036
9362210
10218142
11139991
12a62a6
13783a2
14596d8
154497c
hex3541e

218142 has 12 divisors (see below), whose sum is σ = 472680. Its totient is φ = 72708.

The previous prime is 218137. The next prime is 218143. The reversal of 218142 is 241812.

218142 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 (18), and also a Moran number because the ratio is a prime number: 12119 = 218142 / (2 + 1 + 8 + 1 + 4 + 2).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218142.

It is not an unprimeable number, because it can be changed into a prime (218143) by changing a digit.

218142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6042 + ... + 6077.

It is an arithmetic number, because the mean of its divisors is an integer number (39390).

2218142 is an apocalyptic number.

218142 is an abundant number, since it is smaller than the sum of its proper divisors (254538).

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

218142 is a wasteful number, since it uses less digits than its factorization.

218142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12124 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 218142 is about 467.0567417349. The cubic root of 218142 is about 60.1976813197.

Adding to 218142 its reverse (241812), we get a palindrome (459954).

The spelling of 218142 in words is "two hundred eighteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 12119 24238 36357 72714 109071 218142