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228681 = 3225409
BaseRepresentation
bin110111110101001001
3102121200200
4313311021
524304211
64522413
71641465
oct676511
9377620
10228681
111468a2
12b0409
138011b
145d4a5
1547b56
hex37d49

228681 has 6 divisors (see below), whose sum is σ = 330330. Its totient is φ = 152448.

The previous prime is 228677. The next prime is 228707. The reversal of 228681 is 186822.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 81225 = 384^2 + 285^2 .

It is not a de Polignac number, because 228681 - 22 = 228677 is a prime.

It is a super-2 number, since 2×2286812 = 104589999522, which contains 22 as substring.

It is a Curzon number.

228681 is a lucky number.

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 228681.

It is not an unprimeable number, because it can be changed into a prime (228601) 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 5 ways as a sum of consecutive naturals, for example, 12696 + ... + 12713.

It is an arithmetic number, because the mean of its divisors is an integer number (55055).

2228681 is an apocalyptic number.

It is an amenable number.

228681 is a deficient number, since it is larger than the sum of its proper divisors (101649).

228681 is a wasteful number, since it uses less digits than its factorization.

228681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25415 (or 25412 counting only the distinct ones).

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

The square root of 228681 is about 478.2060225468. The cubic root of 228681 is about 61.1519101906.

It can be divided in two parts, 228 and 681, that added together give a palindrome (909).

The spelling of 228681 in words is "two hundred twenty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 25409 76227 228681