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228506418 = 232717107997
BaseRepresentation
bin11011001111010…
…11101100110010
3120220222022212200
431213223230302
5431444201133
634401404030
75443162320
oct1547535462
9526868780
10228506418
11107a93288
1264639616
13384584ca
14224c2d10
15150da913
hexd9ebb32

228506418 has 96 divisors (see below), whose sum is σ = 605314944. Its totient is φ = 60811776.

The previous prime is 228506393. The next prime is 228506419. The reversal of 228506418 is 814605822.

228506418 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 0 + 641 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (228506419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228696 + ... + 229692.

It is an arithmetic number, because the mean of its divisors is an integer number (6305364).

Almost surely, 2228506418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228506418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302657472).

228506418 is an abundant number, since it is smaller than the sum of its proper divisors (376808526).

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

228506418 is a wasteful number, since it uses less digits than its factorization.

228506418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 228506418 is about 15116.4287449119. The cubic root of 228506418 is about 611.3634448879.

The spelling of 228506418 in words is "two hundred twenty-eight million, five hundred six thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 107 119 126 153 214 238 306 321 357 642 714 749 963 997 1071 1498 1819 1926 1994 2142 2247 2991 3638 4494 5457 5982 6741 6979 8973 10914 12733 13482 13958 16371 16949 17946 20937 25466 32742 33898 38199 41874 50847 62811 76398 101694 106679 114597 118643 125622 152541 213358 229194 237286 305082 320037 355929 640074 711858 746753 960111 1067787 1493506 1813543 1920222 2135574 2240259 3627086 4480518 5440629 6720777 10881258 12694801 13441554 16321887 25389602 32643774 38084403 76168806 114253209 228506418