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225427736881 is a prime number
BaseRepresentation
bin1101000111110010001…
…0100100100100110001
3210112212110001120000001
43101330202210210301
512143134000040011
6251320550430001
722200211101454
oct3217442444461
9715773046001
10225427736881
1187670098286
1237833362301
1318347358b29
14aca71ad49b
155ce59887c1
hex347c8a4931

225427736881 has 2 divisors, whose sum is σ = 225427736882. Its totient is φ = 225427736880.

The previous prime is 225427736867. The next prime is 225427736899. The reversal of 225427736881 is 188637724522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132926597281 + 92501139600 = 364591^2 + 304140^2 .

It is a cyclic number.

It is not a de Polignac number, because 225427736881 - 27 = 225427736753 is a prime.

It is a super-3 number, since 3×2254277368813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (225427736861) 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 as a sum of consecutive naturals, namely, 112713868440 + 112713868441.

It is an arithmetic number, because the mean of its divisors is an integer number (112713868441).

Almost surely, 2225427736881 is an apocalyptic number.

It is an amenable number.

225427736881 is a deficient number, since it is larger than the sum of its proper divisors (1).

225427736881 is an equidigital number, since it uses as much as digits as its factorization.

225427736881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9031680, while the sum is 55.

The spelling of 225427736881 in words is "two hundred twenty-five billion, four hundred twenty-seven million, seven hundred thirty-six thousand, eight hundred eighty-one".