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225251222200001 is a prime number
BaseRepresentation
bin110011001101110101100011…
…000101011001111011000001
31002112112210202222002201222022
4303031311203011121323001
5214011004000340400001
62115022552151451225
765305602161510624
oct6315654305317301
91075483688081868
10225251222200001
1165854563710038
122131b242686b15
13988c139990b0a
143d8a3084a7dbb
151b0947b8d411b
hexccdd63159ec1

225251222200001 has 2 divisors, whose sum is σ = 225251222200002. Its totient is φ = 225251222200000.

The previous prime is 225251222199967. The next prime is 225251222200007. The reversal of 225251222200001 is 100002222152522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176442764646976 + 48808457553025 = 13283176^2 + 6986305^2 .

It is a cyclic number.

It is not a de Polignac number, because 225251222200001 - 218 = 225251221937857 is a prime.

It is a super-2 number, since 2×2252512222000012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225251222200007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112625611100000 + 112625611100001.

It is an arithmetic number, because the mean of its divisors is an integer number (112625611100001).

Almost surely, 2225251222200001 is an apocalyptic number.

It is an amenable number.

225251222200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

225251222200001 is an equidigital number, since it uses as much as digits as its factorization.

225251222200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 225251222200001 its reverse (100002222152522), we get a palindrome (325253444352523).

The spelling of 225251222200001 in words is "two hundred twenty-five trillion, two hundred fifty-one billion, two hundred twenty-two million, two hundred thousand, one".