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225727257273 = 3730735012759
BaseRepresentation
bin1101001000111001100…
…1001001101010111001
3210120122022122202201220
43102032121021222321
512144242134213043
6251410410302253
722210506012660
oct3221631115271
9716568582656
10225727257273
11878041743a1
12378b7727989
131839441952b
14acd4c99dd7
155d11e00483
hex348e649ab9

225727257273 has 16 divisors (see below), whose sum is σ = 345085762560. Its totient is φ = 128566847376.

The previous prime is 225727257229. The next prime is 225727257289. The reversal of 225727257273 is 372752727522.

225727257273 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 225727257273 - 28 = 225727257017 is a prime.

It is a super-2 number, since 2×2257272572732 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225727253273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17499933 + ... + 17512826.

It is an arithmetic number, because the mean of its divisors is an integer number (21567860160).

Almost surely, 2225727257273 is an apocalyptic number.

It is an amenable number.

225727257273 is a deficient number, since it is larger than the sum of its proper divisors (119358505287).

225727257273 is a wasteful number, since it uses less digits than its factorization.

225727257273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35013076.

The product of its digits is 5762400, while the sum is 51.

The spelling of 225727257273 in words is "two hundred twenty-five billion, seven hundred twenty-seven million, two hundred fifty-seven thousand, two hundred seventy-three".

Divisors: 1 3 7 21 307 921 2149 6447 35012759 105038277 245089313 735267939 10748917013 32246751039 75242419091 225727257273