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228438 = 2327337
BaseRepresentation
bin110111110001010110
3102121100200
4313301112
524302223
64521330
71641000
oct676126
9377320
10228438
111466a1
12b0246
137cc92
145d370
1547a43
hex37c56

228438 has 48 divisors (see below), whose sum is σ = 592800. Its totient is φ = 63504.

The previous prime is 228427. The next prime is 228443. The reversal of 228438 is 834822.

228438 is a `hidden beast` number, since 228 + 438 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

228438 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 23 ways as a sum of consecutive naturals, for example, 6156 + ... + 6192.

It is an arithmetic number, because the mean of its divisors is an integer number (12350).

2228438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296400).

228438 is an abundant number, since it is smaller than the sum of its proper divisors (364362).

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

228438 is a wasteful number, since it uses less digits than its factorization.

228438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 228438 is about 477.9518804231. The cubic root of 228438 is about 61.1302421891.

It can be divided in two parts, 228 and 438, that added together give a palindrome (666).

The spelling of 228438 in words is "two hundred twenty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 343 441 518 666 686 777 882 1029 1554 1813 2058 2331 3087 3626 4662 5439 6174 10878 12691 16317 25382 32634 38073 76146 114219 228438