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228408804 = 22321317191511
BaseRepresentation
bin11011001110100…
…11110111100100
3120220210100222100
431213103313210
5431433040204
634355332100
75442304611
oct1547236744
9526710870
10228408804
11107a26a08
12645b1030
1338422c50
1422499508
15150bba39
hexd9d3de4

228408804 has 144 divisors (see below), whose sum is σ = 693463680. Its totient is φ = 62622720.

The previous prime is 228408793. The next prime is 228408839. The reversal of 228408804 is 408804822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150409 + ... + 151919.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2228408804 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 228408804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

228408804 is an abundant number, since it is smaller than the sum of its proper divisors (465054876).

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

228408804 is a wasteful number, since it uses less digits than its factorization.

228408804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 228408804 is about 15113.1996612233. The cubic root of 228408804 is about 611.2763778497.

The spelling of 228408804 in words is "two hundred twenty-eight million, four hundred eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 17 18 19 26 34 36 38 39 51 52 57 68 76 78 102 114 117 153 156 171 204 221 228 234 247 306 323 342 442 468 494 612 646 663 684 741 884 969 988 1292 1326 1482 1511 1938 1989 2223 2652 2907 2964 3022 3876 3978 4199 4446 4533 5814 6044 7956 8398 8892 9066 11628 12597 13599 16796 18132 19643 25194 25687 27198 28709 37791 39286 50388 51374 54396 57418 58929 75582 77061 78572 86127 102748 114836 117858 151164 154122 172254 176787 231183 235716 258381 308244 333931 344508 353574 373217 462366 488053 516762 667862 707148 746434 924732 976106 1001793 1033524 1119651 1335724 1464159 1492868 1952212 2003586 2239302 2928318 3005379 3358953 4007172 4392477 4478604 5856636 6010758 6344689 6717906 8784954 12021516 12689378 13435812 17569908 19034067 25378756 38068134 57102201 76136268 114204402 228408804