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228124680 = 23357594603
BaseRepresentation
bin11011001100011…
…10100000001000
3120220020221020020
431212032200020
5431344442210
634345300440
75440012350
oct1546164010
9526227206
10228124680
111078524a3
1264494720
1338353824
1422423b60
1515062770
hexd98e808

228124680 has 128 divisors (see below), whose sum is σ = 795571200. Its totient is φ = 51247872.

The previous prime is 228124679. The next prime is 228124681. The reversal of 228124680 is 86421822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228124679) and next prime (228124681).

It is not an unprimeable number, because it can be changed into a prime (228124681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47259 + ... + 51861.

It is an arithmetic number, because the mean of its divisors is an integer number (6215400).

Almost surely, 2228124680 is an apocalyptic number.

228124680 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 228124680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397785600).

228124680 is an abundant number, since it is smaller than the sum of its proper divisors (567446520).

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

228124680 is a wasteful number, since it uses less digits than its factorization.

228124680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 228124680 is about 15103.7968736341. The cubic root of 228124680 is about 611.0228115091.

The spelling of 228124680 in words is "two hundred twenty-eight million, one hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 472 590 708 826 840 885 1180 1239 1416 1652 1770 2065 2360 2478 3304 3540 4130 4603 4956 6195 7080 8260 9206 9912 12390 13809 16520 18412 23015 24780 27618 32221 36824 46030 49560 55236 64442 69045 92060 96663 110472 128884 138090 161105 184120 193326 257768 271577 276180 322210 386652 483315 543154 552360 644420 773304 814731 966630 1086308 1288840 1357885 1629462 1901039 1933260 2172616 2715770 3258924 3802078 3866520 4073655 5431540 5703117 6517848 7604156 8147310 9505195 10863080 11406234 15208312 16294620 19010390 22812468 28515585 32589240 38020780 45624936 57031170 76041560 114062340 228124680