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221292041 is a prime number
BaseRepresentation
bin11010011000010…
…10011000001001
3120102101210121112
431030022120021
5423122321131
633543020105
75324644205
oct1514123011
9512353545
10221292041
11103a05a93
126213a635
1336b00849
1421565b05
151466302b
hexd30a609

221292041 has 2 divisors, whose sum is σ = 221292042. Its totient is φ = 221292040.

The previous prime is 221292037. The next prime is 221292053. The reversal of 221292041 is 140292122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185531641 + 35760400 = 13621^2 + 5980^2 .

It is a cyclic number.

It is not a de Polignac number, because 221292041 - 22 = 221292037 is a prime.

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 = 221291998 and 221292016.

It is not a weakly prime, because it can be changed into another prime (221292241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110646020 + 110646021.

It is an arithmetic number, because the mean of its divisors is an integer number (110646021).

Almost surely, 2221292041 is an apocalyptic number.

It is an amenable number.

221292041 is a deficient number, since it is larger than the sum of its proper divisors (1).

221292041 is an equidigital number, since it uses as much as digits as its factorization.

221292041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 221292041 is about 14875.8879062730. The cubic root of 221292041 is about 604.8605566205.

The spelling of 221292041 in words is "two hundred twenty-one million, two hundred ninety-two thousand, forty-one".