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256055992200 = 233252119272
BaseRepresentation
bin1110111001111000100…
…0000101111110001000
3220110220222112010122200
43232132020011332020
513143400313222300
6313344104320200
724333210010461
oct3563610057610
9813828463580
10256055992200
1199657a28888
1241760773060
131b1b8930628
14c570c37d68
1569d9812200
hex3b9e205f88

256055992200 has 108 divisors (see below), whose sum is σ = 859993478565. Its totient is φ = 68275872960.

The previous prime is 256055992183. The next prime is 256055992229. The reversal of 256055992200 is 2299550652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

256055992200 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 559 + 92 + 2 + 0 + 0 = 666.

256055992200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 250934872356 + 5121119844 = 500934^2 + 71562^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=357810.

It is a super-2 number, since 2×2560559922002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21462637 + ... + 21474563.

Almost surely, 2256055992200 is an apocalyptic number.

256055992200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256055992200 is an abundant number, since it is smaller than the sum of its proper divisors (603937486365).

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

256055992200 is an equidigital number, since it uses as much as digits as its factorization.

256055992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23876 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 256055992200 in words is "two hundred fifty-six billion, fifty-five million, nine hundred ninety-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11927 23854 35781 47708 59635 71562 95416 107343 119270 143124 178905 214686 238540 286248 298175 357810 429372 477080 536715 596350 715620 858744 894525 1073430 1192700 1431240 1789050 2146860 2385400 2683575 3578100 4293720 5367150 7156200 10734300 21468600 142253329 284506658 426759987 569013316 711266645 853519974 1138026632 1280279961 1422533290 1707039948 2133799935 2560559922 2845066580 3414079896 3556333225 4267599870 5121119844 5690133160 6401399805 7112666450 8535199740 10242239688 10668999675 12802799610 14225332900 17070399480 21337999350 25605599220 28450665800 32006999025 42675998700 51211198440 64013998050 85351997400 128027996100 256055992200