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228690 = 23357112
BaseRepresentation
bin110111110101010010
3102121201000
4313311102
524304230
64522430
71641510
oct676522
9377630
10228690
11146900
12b0416
1380127
145d4b0
1547b60
hex37d52

228690 has 96 divisors (see below), whose sum is σ = 766080. Its totient is φ = 47520.

The previous prime is 228677. The next prime is 228707. The reversal of 228690 is 96822.

It is a super-2 number, since 2×2286902 = 104598232200, which contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 20785 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2228690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

228690 is an abundant number, since it is smaller than the sum of its proper divisors (537390).

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

228690 is a wasteful number, since it uses less digits than its factorization.

228690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 228690 is about 478.2154326243. The cubic root of 228690 is about 61.1527124143.

The spelling of 228690 in words is "two hundred twenty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 121 126 135 154 165 189 198 210 231 242 270 297 315 330 363 378 385 462 495 594 605 630 693 726 770 847 945 990 1089 1155 1210 1386 1485 1694 1815 1890 2079 2178 2310 2541 2970 3267 3465 3630 4158 4235 5082 5445 6534 6930 7623 8470 10395 10890 12705 15246 16335 20790 22869 25410 32670 38115 45738 76230 114345 228690