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225012416221 is a prime number
BaseRepresentation
bin1101000110001111001…
…0001111111011011101
3210111210111120002011101
43101203302033323131
512141311134304341
6251211432553101
722154005660165
oct3214362177335
9714714502141
10225012416221
118747770876a
1237738252791
13182ac2b1c68
14ac67d7b5a5
155cbe29a831
hex3463c8fedd

225012416221 has 2 divisors, whose sum is σ = 225012416222. Its totient is φ = 225012416220.

The previous prime is 225012416197. The next prime is 225012416267. The reversal of 225012416221 is 122614210522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173793936996 + 51218479225 = 416886^2 + 226315^2 .

It is a cyclic number.

It is not a de Polignac number, because 225012416221 - 213 = 225012408029 is a prime.

It is a super-2 number, since 2×2250124162212 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225012416221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225012416281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112506208110 + 112506208111.

It is an arithmetic number, because the mean of its divisors is an integer number (112506208111).

Almost surely, 2225012416221 is an apocalyptic number.

It is an amenable number.

225012416221 is a deficient number, since it is larger than the sum of its proper divisors (1).

225012416221 is an equidigital number, since it uses as much as digits as its factorization.

225012416221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 225012416221 its reverse (122614210522), we get a palindrome (347626626743).

The spelling of 225012416221 in words is "two hundred twenty-five billion, twelve million, four hundred sixteen thousand, two hundred twenty-one".