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225602084385 = 3351987954029
BaseRepresentation
bin1101001000011011101…
…1101001111000100001
3210120022121010022211000
43102012323221320201
512144013113200020
6251350135342213
722204426035306
oct3220673517041
9716277108730
10225602084385
118774a54a127
1237881821969
1318374500c32
14acc23d50ad
155d05e27090
hex3486ee9e21

225602084385 has 32 divisors (see below), whose sum is σ = 422179344000. Its totient is φ = 113988420288.

The previous prime is 225602084359. The next prime is 225602084453. The reversal of 225602084385 is 583480206522.

225602084385 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 0 + 208 + 438 + 5 = 666.

225602084385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225602084385 - 28 = 225602084129 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225602084385.

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 31 ways as a sum of consecutive naturals, for example, 43974450 + ... + 43979579.

It is an arithmetic number, because the mean of its divisors is an integer number (13193104500).

Almost surely, 2225602084385 is an apocalyptic number.

It is an amenable number.

225602084385 is a deficient number, since it is larger than the sum of its proper divisors (196577259615).

225602084385 is a wasteful number, since it uses less digits than its factorization.

225602084385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87954062 (or 87954056 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 225602084385 in words is "two hundred twenty-five billion, six hundred two million, eighty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 87954029 263862087 439770145 791586261 1319310435 1671126551 2374758783 3957931305 5013379653 8355632755 11873793915 15040138959 25066898265 45120416877 75200694795 225602084385