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228627 = 32719191
BaseRepresentation
bin110111110100010011
3102121121200
4313310103
524304002
64522243
71641360
oct676423
9377550
10228627
11146853
12b0383
13800a9
145d467
1547b1c
hex37d13

228627 has 24 divisors (see below), whose sum is σ = 399360. Its totient is φ = 123120.

The previous prime is 228619. The next prime is 228637. The reversal of 228627 is 726822.

It is not a de Polignac number, because 228627 - 23 = 228619 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 228627.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228627.

It is not an unprimeable number, because it can be changed into a prime (228617) 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 23 ways as a sum of consecutive naturals, for example, 1102 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (16640).

2228627 is an apocalyptic number.

228627 is a deficient number, since it is larger than the sum of its proper divisors (170733).

228627 is a wasteful number, since it uses less digits than its factorization.

228627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

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

The square root of 228627 is about 478.1495581928. The cubic root of 228627 is about 61.1470964061.

It can be divided in two parts, 22 and 8627, that added together give a square (8649 = 932).

The spelling of 228627 in words is "two hundred twenty-eight thousand, six hundred twenty-seven".

Divisors: 1 3 7 9 19 21 57 63 133 171 191 399 573 1197 1337 1719 3629 4011 10887 12033 25403 32661 76209 228627