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220225383509 is a prime number
BaseRepresentation
bin1100110100011001110…
…1001010110001010101
3210001102212220121210112
43031012131022301111
512102010144233014
6245100430132405
721624250605455
oct3150635126125
9701385817715
10220225383509
118544054018a
1236821051105
13179c85caa21
14a9322b5d65
155adddb073e
hex334674ac55

220225383509 has 2 divisors, whose sum is σ = 220225383510. Its totient is φ = 220225383508.

The previous prime is 220225383451. The next prime is 220225383517. The reversal of 220225383509 is 905383522022.

220225383509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203082718609 + 17142664900 = 450647^2 + 130930^2 .

It is a cyclic number.

It is not a de Polignac number, because 220225383509 - 220 = 220224334933 is a prime.

It is a super-2 number, since 2×2202253835092 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220225383109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110112691754 + 110112691755.

It is an arithmetic number, because the mean of its divisors is an integer number (110112691755).

Almost surely, 2220225383509 is an apocalyptic number.

It is an amenable number.

220225383509 is a deficient number, since it is larger than the sum of its proper divisors (1).

220225383509 is an equidigital number, since it uses as much as digits as its factorization.

220225383509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 220225383509 in words is "two hundred twenty billion, two hundred twenty-five million, three hundred eighty-three thousand, five hundred nine".