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223033220041 is a prime number
BaseRepresentation
bin1100111110110111010…
…0001101101111001001
3210022200120100111102011
43033231310031233021
512123233001020131
6250243211535521
722053654043012
oct3175564155711
9708616314364
10223033220041
1186651490345
123728545a5a1
131805523cb68
14ab1b17a009
155c056470b1
hex33edd0dbc9

223033220041 has 2 divisors, whose sum is σ = 223033220042. Its totient is φ = 223033220040.

The previous prime is 223033220021. The next prime is 223033220057. The reversal of 223033220041 is 140022330322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197694947641 + 25338272400 = 444629^2 + 159180^2 .

It is a cyclic number.

It is not a de Polignac number, because 223033220041 - 211 = 223033217993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223033219994 and 223033220021.

It is not a weakly prime, because it can be changed into another prime (223033220021) 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, 111516610020 + 111516610021.

It is an arithmetic number, because the mean of its divisors is an integer number (111516610021).

Almost surely, 2223033220041 is an apocalyptic number.

It is an amenable number.

223033220041 is a deficient number, since it is larger than the sum of its proper divisors (1).

223033220041 is an equidigital number, since it uses as much as digits as its factorization.

223033220041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 223033220041 its reverse (140022330322), we get a palindrome (363055550363).

The spelling of 223033220041 in words is "two hundred twenty-three billion, thirty-three million, two hundred twenty thousand, forty-one".