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223180031 is a prime number
BaseRepresentation
bin11010100110101…
…11010011111111
3120112221201110002
431103113103333
5424113230111
634051304515
75346666434
oct1523272377
9515851402
10223180031
11104a85508
12628ab13b
1337311cb9
14218d7b8b
15148d763b
hexd4d74ff

223180031 has 2 divisors, whose sum is σ = 223180032. Its totient is φ = 223180030.

The previous prime is 223179997. The next prime is 223180033. The reversal of 223180031 is 130081322.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 223180031 - 222 = 218985727 is a prime.

It is a super-3 number, since 3×2231800313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 223180033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 223179985 and 223180012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223180033) 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, 111590015 + 111590016.

It is an arithmetic number, because the mean of its divisors is an integer number (111590016).

Almost surely, 2223180031 is an apocalyptic number.

223180031 is a deficient number, since it is larger than the sum of its proper divisors (1).

223180031 is an equidigital number, since it uses as much as digits as its factorization.

223180031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 223180031 is about 14939.2111906888. The cubic root of 223180031 is about 606.5758440230.

The spelling of 223180031 in words is "two hundred twenty-three million, one hundred eighty thousand, thirty-one".