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227268 = 223259107
BaseRepresentation
bin110111011111000100
3102112202100
4313133010
524233033
64512100
71634406
oct673704
9375670
10227268
11145828
12ab630
137c5a2
145cb76
1547513
hex377c4

227268 has 36 divisors (see below), whose sum is σ = 589680. Its totient is φ = 73776.

The previous prime is 227267. The next prime is 227281. The reversal of 227268 is 862722.

227268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (227267) by changing a digit.

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, 2071 + ... + 2177.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2227268 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 227268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

227268 is an abundant number, since it is smaller than the sum of its proper divisors (362412).

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

227268 is a wasteful number, since it uses less digits than its factorization.

227268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 227268 is about 476.7263365916. The cubic root of 227268 is about 61.0256991061.

The spelling of 227268 in words is "two hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 107 118 177 214 236 321 354 428 531 642 708 963 1062 1284 1926 2124 3852 6313 12626 18939 25252 37878 56817 75756 113634 227268