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816228 = 223274179
BaseRepresentation
bin11000111010001100100
31112110122200
43013101210
5202104403
625254500
76636450
oct3072144
91473580
10816228
11508276
12334430
1322769a
14173660
15111ca3
hexc7464

816228 has 72 divisors (see below), whose sum is σ = 2446080. Its totient is φ = 224640.

The previous prime is 816227. The next prime is 816239. The reversal of 816228 is 822618.

It is not an unprimeable number, because it can be changed into a prime (816223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10293 + ... + 10371.

2816228 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 816228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223040).

816228 is an abundant number, since it is smaller than the sum of its proper divisors (1629852).

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

816228 is a wasteful number, since it uses less digits than its factorization.

816228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

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

The square root of 816228 is about 903.4533745579. The cubic root of 816228 is about 93.4552771141.

The spelling of 816228 in words is "eight hundred sixteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 79 82 84 123 126 158 164 237 246 252 287 316 369 474 492 553 574 711 738 861 948 1106 1148 1422 1476 1659 1722 2212 2583 2844 3239 3318 3444 4977 5166 6478 6636 9717 9954 10332 12956 19434 19908 22673 29151 38868 45346 58302 68019 90692 116604 136038 204057 272076 408114 816228