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224430076730500 = 22534119356724397
BaseRepresentation
bin110011000001111000110011…
…000000000001110010000100
31002102122022020221000211222121
4303001320303000001302010
5213404030244120334000
62113153430502335324
765162352343260514
oct6301706300016204
91072568227024877
10224430076730500
1165568296486113
122120807672a544
13982c885c28914
143d5c68ba83844
151ae2e1c00cb1a
hexcc1e33001c84

224430076730500 has 96 divisors (see below), whose sum is σ = 504711911235168. Its totient is φ = 87128672256000.

The previous prime is 224430076730467. The next prime is 224430076730591. The reversal of 224430076730500 is 5037670034422.

It can be written as a sum of positive squares in 16 ways, for example, as 222957217789504 + 1472858940996 = 14931752^2 + 1213614^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24405699 + ... + 32318698.

It is an arithmetic number, because the mean of its divisors is an integer number (5257415742033).

Almost surely, 2224430076730500 is an apocalyptic number.

224430076730500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224430076730500 is an abundant number, since it is smaller than the sum of its proper divisors (280281834504668).

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

224430076730500 is a wasteful number, since it uses less digits than its factorization.

224430076730500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56724650 (or 56724638 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 43.

The spelling of 224430076730500 in words is "two hundred twenty-four trillion, four hundred thirty billion, seventy-six million, seven hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 193 205 250 386 410 500 772 820 965 1025 1930 2050 3860 4100 4825 5125 7913 9650 10250 15826 19300 20500 24125 31652 39565 48250 79130 96500 158260 197825 395650 791300 989125 1978250 3956500 56724397 113448794 226897588 283621985 567243970 1134487940 1418109925 2325700277 2836219850 4651400554 5672439700 7090549625 9302801108 10947808621 11628501385 14181099250 21895617242 23257002770 28362198500 43791234484 46514005540 54739043105 58142506925 109478086210 116285013850 218956172420 232570027700 273695215525 290712534625 448860153461 547390431050 581425069250 897720306922 1094780862100 1162850138500 1368476077625 1795440613844 2244300767305 2736952155250 4488601534610 5473904310500 8977203069220 11221503836525 22443007673050 44886015346100 56107519182625 112215038365250 224430076730500