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228108660 = 2235131092683
BaseRepresentation
bin11011001100010…
…10100101110100
3120220020010020220
431212022211310
5431343434120
634345054340
75436614553
oct1546124564
9526203226
10228108660
1110784145a
12644873b0
1338349450
142241bd9a
151505cb40
hexd98a974

228108660 has 96 divisors (see below), whose sum is σ = 694404480. Its totient is φ = 55613952.

The previous prime is 228108659. The next prime is 228108667. The reversal of 228108660 is 66801822.

228108660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228108667) 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, 83679 + ... + 86361.

It is an arithmetic number, because the mean of its divisors is an integer number (7233380).

Almost surely, 2228108660 is an apocalyptic number.

228108660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228108660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347202240).

228108660 is an abundant number, since it is smaller than the sum of its proper divisors (466295820).

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

228108660 is a wasteful number, since it uses less digits than its factorization.

228108660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 228108660 is about 15103.2665340978. The cubic root of 228108660 is about 611.0085081983.

The spelling of 228108660 in words is "two hundred twenty-eight million, one hundred eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2683 2834 3270 4251 5366 5668 6540 7085 8049 8502 10732 13415 14170 16098 17004 21255 26830 28340 32196 34879 40245 42510 53660 69758 80490 85020 104637 139516 160980 174395 209274 292447 348790 418548 523185 584894 697580 877341 1046370 1169788 1462235 1754682 2092740 2924470 3509364 3801811 4386705 5848940 7603622 8773410 11405433 15207244 17546820 19009055 22810866 38018110 45621732 57027165 76036220 114054330 228108660