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228981168 = 24341313591
BaseRepresentation
bin11011010010111…
…11100110110000
3120221212110010000
431221133212300
5432104344133
634415510000
75450210403
oct1551374660
9527773100
10228981168
11108287a39
1264828300
1338593620
14225a7d3a
1515181413
hexda5f9b0

228981168 has 100 divisors (see below), whose sum is σ = 713770288. Its totient is φ = 70450560.

The previous prime is 228981163. The next prime is 228981173. The reversal of 228981168 is 861189822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228981163) and next prime (228981173).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228981161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10053 + ... + 23643.

Almost surely, 2228981168 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 228981168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356885144).

228981168 is an abundant number, since it is smaller than the sum of its proper divisors (484789120).

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

228981168 is a wasteful number, since it uses less digits than its factorization.

228981168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13624 (or 13609 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 228981168 is about 15132.1237108345. The cubic root of 228981168 is about 611.7865460906.

The spelling of 228981168 in words is "two hundred twenty-eight million, nine hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 13591 16848 27182 40773 54364 81546 108728 122319 163092 176683 217456 244638 326184 353366 366957 489276 530049 652368 706732 733914 978552 1060098 1100871 1413464 1467828 1590147 1957104 2120196 2201742 2826928 2935656 3180294 4240392 4403484 4770441 5871312 6360588 8480784 8806968 9540882 12721176 14311323 17613936 19081764 25442352 28622646 38163528 57245292 76327056 114490584 228981168