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205255111700 = 22521727102253
BaseRepresentation
bin1011111100101000101…
…0000111010000010100
3201121210120201000112002
42333022022013100110
511330330302033300
6234143133214432
720554261443242
oct2771212072024
9647716630462
10205255111700
117a059183421
1233943631418
1316480c90022
149d11dcd792
1555149be5d5
hex2fca287414

205255111700 has 54 divisors (see below), whose sum is σ = 473145059226. Its totient is φ = 77272501760.

The previous prime is 205255111679. The next prime is 205255111703. The reversal of 205255111700 is 7111552502.

It can be written as a sum of positive squares in 9 ways, for example, as 38426976784 + 166828134916 = 196028^2 + 408446^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205255111703) 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 17 ways as a sum of consecutive naturals, for example, 3522227 + ... + 3580026.

Almost surely, 2205255111700 is an apocalyptic number.

205255111700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205255111700 is an abundant number, since it is smaller than the sum of its proper divisors (267889947526).

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

205255111700 is a wasteful number, since it uses less digits than its factorization.

205255111700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102301 (or 7102277 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 29.

The spelling of 205255111700 in words is "two hundred five billion, two hundred fifty-five million, one hundred eleven thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 7102253 14204506 28409012 35511265 71022530 120738301 142045060 177556325 241476602 355112650 482953204 603691505 710225300 1207383010 2052551117 2414766020 3018457525 4105102234 6036915050 8210204468 10262755585 12073830100 20525511170 41051022340 51313777925 102627555850 205255111700