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427225317 = 31719440893
BaseRepresentation
bin11001011101101…
…111000011100101
31002202220021221220
4121131233003211
51333332202232
6110220530553
713405232601
oct3135570345
91082807856
10427225317
111aa180782
12bb0b0a59
136a68465c
1440a50501
152779042c
hex1976f0e5

427225317 has 16 divisors (see below), whose sum is σ = 634887360. Its totient is φ = 253953792.

The previous prime is 427225307. The next prime is 427225349. The reversal of 427225317 is 713522724.

It is not a de Polignac number, because 427225317 - 24 = 427225301 is a prime.

It is a super-3 number, since 3×4272253173 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427225307) 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 15 ways as a sum of consecutive naturals, for example, 219478 + ... + 221415.

It is an arithmetic number, because the mean of its divisors is an integer number (39680460).

Almost surely, 2427225317 is an apocalyptic number.

It is an amenable number.

427225317 is a deficient number, since it is larger than the sum of its proper divisors (207662043).

427225317 is a wasteful number, since it uses less digits than its factorization.

427225317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440932.

The product of its digits is 23520, while the sum is 33.

The square root of 427225317 is about 20669.4295276865. The cubic root of 427225317 is about 753.1572486137.

The spelling of 427225317 in words is "four hundred twenty-seven million, two hundred twenty-five thousand, three hundred seventeen".

Divisors: 1 3 17 19 51 57 323 969 440893 1322679 7495181 8376967 22485543 25130901 142408439 427225317