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225313355441 is a prime number
BaseRepresentation
bin1101000111010110111…
…0001111011010110001
3210112120110211101011102
43101311232033122301
512142420204333231
6251301343054145
722164321631046
oct3216556173261
9715513741142
10225313355441
1187611573869
1237800ba1355
131832974b3c5
14ac95d171cd
155cda8e2acb
hex3475b8f6b1

225313355441 has 2 divisors, whose sum is σ = 225313355442. Its totient is φ = 225313355440.

The previous prime is 225313355381. The next prime is 225313355539. The reversal of 225313355441 is 144553313522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203645515441 + 21667840000 = 451271^2 + 147200^2 .

It is a cyclic number.

It is not a de Polignac number, because 225313355441 - 222 = 225309161137 is a prime.

It is a super-2 number, since 2×2253133554412 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225313355395 and 225313355404.

It is not a weakly prime, because it can be changed into another prime (225313355041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112656677720 + 112656677721.

It is an arithmetic number, because the mean of its divisors is an integer number (112656677721).

Almost surely, 2225313355441 is an apocalyptic number.

It is an amenable number.

225313355441 is a deficient number, since it is larger than the sum of its proper divisors (1).

225313355441 is an equidigital number, since it uses as much as digits as its factorization.

225313355441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216000, while the sum is 38.

Adding to 225313355441 its reverse (144553313522), we get a palindrome (369866668963).

The spelling of 225313355441 in words is "two hundred twenty-five billion, three hundred thirteen million, three hundred fifty-five thousand, four hundred forty-one".