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222320313132320 = 25513143374588113
BaseRepresentation
bin110010100011001011111011…
…010010100110010100100000
31002011011121120212121110222102
4302203023323102212110200
5213114444000130213240
62104500313014425532
764554053416500224
oct6243137322462440
91064147525543872
10222320313132320
1164924573980427
1220b271bb0622a8
13970893c1587b0
143cc850958a784
151aa80dca82815
hexca32fb4a6520

222320313132320 has 96 divisors (see below), whose sum is σ = 566028909178992. Its totient is φ = 82030215462912.

The previous prime is 222320313132289. The next prime is 222320313132353. The reversal of 222320313132320 is 23231313023222.

It can be written as a sum of positive squares in 8 ways, for example, as 57542116265104 + 164778196867216 = 7585652^2 + 12836596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34313417 + ... + 40274696.

Almost surely, 2222320313132320 is an apocalyptic number.

222320313132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222320313132320 is an abundant number, since it is smaller than the sum of its proper divisors (343708596046672).

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

222320313132320 is a wasteful number, since it uses less digits than its factorization.

222320313132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74589574 (or 74589566 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 222320313132320 its reverse (23231313023222), we get a palindrome (245551626155542).

The spelling of 222320313132320 in words is "two hundred twenty-two trillion, three hundred twenty billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1433 2080 2866 5732 7165 11464 14330 18629 22928 28660 37258 45856 57320 74516 93145 114640 149032 186290 229280 298064 372580 596128 745160 1490320 2980640 74588113 149176226 298352452 372940565 596704904 745881130 969645469 1193409808 1491762260 1939290938 2386819616 2983524520 3878581876 4848227345 5967049040 7757163752 9696454690 11934098080 15514327504 19392909380 31028655008 38785818760 77571637520 106884765929 155143275040 213769531858 427539063716 534423829645 855078127432 1068847659290 1389501957077 1710156254864 2137695318580 2779003914154 3420312509728 4275390637160 5558007828308 6947509785385 8550781274320 11116015656616 13895019570770 17101562548640 22232031313232 27790039141540 44464062626464 55580078283080 111160156566160 222320313132320