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221313793 is a prime number
BaseRepresentation
bin11010011000011…
…11101100000001
3120102102220110011
431030033230001
5423124020133
633543304521
75325064501
oct1514175401
9512386404
10221313793
11103a20368
126214b141
1336b0a70c
142156da01
15146696cd
hexd30fb01

221313793 has 2 divisors, whose sum is σ = 221313794. Its totient is φ = 221313792.

The previous prime is 221313787. The next prime is 221313817. The reversal of 221313793 is 397313122.

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., 216442944 + 4870849 = 14712^2 + 2207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221313793 is a prime.

It is not a weakly prime, because it can be changed into another prime (221313193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656896 + 110656897.

It is an arithmetic number, because the mean of its divisors is an integer number (110656897).

Almost surely, 2221313793 is an apocalyptic number.

It is an amenable number.

221313793 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313793 is an equidigital number, since it uses as much as digits as its factorization.

221313793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 31.

The square root of 221313793 is about 14876.6190043303. The cubic root of 221313793 is about 604.8803743173.

The spelling of 221313793 in words is "two hundred twenty-one million, three hundred thirteen thousand, seven hundred ninety-three".