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228564660 = 223517297727
BaseRepresentation
bin11011001111110…
…01111010110100
3120221002021202210
431213321322310
5432003032120
634402533420
75443524162
oct1547717264
9527067683
10228564660
11108023015
1264667270
1338478b7c
14224da232
15150ecce0
hexd9f9eb4

228564660 has 96 divisors (see below), whose sum is σ = 701084160. Its totient is φ = 55379968.

The previous prime is 228564647. The next prime is 228564697. The reversal of 228564660 is 66465822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25717 + ... + 33443.

It is an arithmetic number, because the mean of its divisors is an integer number (7302960).

Almost surely, 2228564660 is an apocalyptic number.

228564660 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 228564660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350542080).

228564660 is an abundant number, since it is smaller than the sum of its proper divisors (472519500).

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

228564660 is a wasteful number, since it uses less digits than its factorization.

228564660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 228564660 is about 15118.3550692527. The cubic root of 228564660 is about 611.4153821673.

The spelling of 228564660 in words is "two hundred twenty-eight million, five hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 7727 9860 14790 15454 23181 29580 30908 38635 46362 77270 92724 115905 131359 154540 224083 231810 262718 394077 448166 463620 525436 656795 672249 788154 896332 1120415 1313590 1344498 1576308 1970385 2240830 2627180 2688996 3361245 3809411 3940770 4481660 6722490 7618822 7881540 11428233 13444980 15237644 19047055 22856466 38094110 45712932 57141165 76188220 114282330 228564660