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228082608 = 243313172389
BaseRepresentation
bin11011001100001…
…00001110110000
3120220011210112000
431212010032300
5431342120413
634344334000
75436445605
oct1546041660
9526153460
10228082608
11107823926
1264474300
133833a630
14224126ac
1515055073
hexd9843b0

228082608 has 160 divisors (see below), whose sum is σ = 746827200. Its totient is φ = 66023424.

The previous prime is 228082607. The next prime is 228082619. The reversal of 228082608 is 806280822.

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

It is not an unprimeable number, because it can be changed into a prime (228082607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94278 + ... + 96666.

It is an arithmetic number, because the mean of its divisors is an integer number (4667670).

Almost surely, 2228082608 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 228082608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373413600).

228082608 is an abundant number, since it is smaller than the sum of its proper divisors (518744592).

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

228082608 is a wasteful number, since it uses less digits than its factorization.

228082608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 228082608 is about 15102.4040470383. The cubic root of 228082608 is about 610.9852464778.

The spelling of 228082608 in words is "two hundred twenty-eight million, eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 408 432 442 459 468 612 624 663 702 816 884 918 936 1224 1326 1404 1768 1836 1872 1989 2389 2448 2652 2808 3536 3672 3978 4778 5304 5616 5967 7167 7344 7956 9556 10608 11934 14334 15912 19112 21501 23868 28668 31057 31824 38224 40613 43002 47736 57336 62114 64503 81226 86004 93171 95472 114672 121839 124228 129006 162452 172008 186342 243678 248456 258012 279513 324904 344016 365517 372684 487356 496912 516024 527969 559026 649808 731034 745368 838539 974712 1032048 1055938 1096551 1118052 1462068 1490736 1583907 1677078 1949424 2111876 2193102 2236104 2924136 3167814 3354156 4223752 4386204 4472208 4751721 5848272 6335628 6708312 8447504 8772408 9503442 12671256 13416624 14255163 17544816 19006884 25342512 28510326 38013768 57020652 76027536 114041304 228082608