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228006 = 23253239
BaseRepresentation
bin110111101010100110
3102120202200
4313222212
524244011
64515330
71636512
oct675246
9376680
10228006
11146339
12abb46
137ca1c
145d142
1547856
hex37aa6

228006 has 24 divisors (see below), whose sum is σ = 505440. Its totient is φ = 74256.

The previous prime is 227993. The next prime is 228013. The reversal of 228006 is 600822.

Added to its reverse (600822) it gives a triangular number (828828 = T1287).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228006.

It is a congruent number.

It is an unprimeable number.

228006 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 835 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2228006 is an apocalyptic number.

It is a pronic number, being equal to 477×478.

228006 is an abundant number, since it is smaller than the sum of its proper divisors (277434).

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

228006 is a wasteful number, since it uses less digits than its factorization.

228006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228006 is about 477.4997382198. The cubic root of 228006 is about 61.0916833255.

Adding to 228006 its reverse (600822), we get a palindrome (828828).

Subtracting 228006 from its reverse (600822), we obtain a triangular number (372816 = T863).

The spelling of 228006 in words is "two hundred twenty-eight thousand, six".

Divisors: 1 2 3 6 9 18 53 106 159 239 318 477 478 717 954 1434 2151 4302 12667 25334 38001 76002 114003 228006