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218380973 is a prime number
BaseRepresentation
bin11010000010000…
…11101010101101
3120012220220101012
431001003222231
5421401142343
633400355005
75261131136
oct1501035255
9505826335
10218380973
111022a7948
1261175a65
1336321815
1421008c8d
151428a718
hexd043aad

218380973 has 2 divisors, whose sum is σ = 218380974. Its totient is φ = 218380972.

The previous prime is 218380951. The next prime is 218380999. The reversal of 218380973 is 379083812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121594729 + 96786244 = 11027^2 + 9838^2 .

It is a cyclic number.

It is not a de Polignac number, because 218380973 - 218 = 218118829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218380973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218380913) 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, 109190486 + 109190487.

It is an arithmetic number, because the mean of its divisors is an integer number (109190487).

Almost surely, 2218380973 is an apocalyptic number.

It is an amenable number.

218380973 is a deficient number, since it is larger than the sum of its proper divisors (1).

218380973 is an equidigital number, since it uses as much as digits as its factorization.

218380973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 218380973 is about 14777.7188023050. The cubic root of 218380973 is about 602.1965534052.

The spelling of 218380973 in words is "two hundred eighteen million, three hundred eighty thousand, nine hundred seventy-three".