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219028993 is a prime number
BaseRepresentation
bin11010000111000…
…01111000000001
3120021010211021221
431003201320001
5422032411433
633422315041
75266500331
oct1503417001
9507124257
10219028993
111026aa7a7
1261428a81
13364ba771
14211370c1
151436772d
hexd0e1e01

219028993 has 2 divisors, whose sum is σ = 219028994. Its totient is φ = 219028992.

The previous prime is 219028951. The next prime is 219029009. The reversal of 219028993 is 399820912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143808064 + 75220929 = 11992^2 + 8673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-219028993 is a prime.

It is not a weakly prime, because it can be changed into another prime (219028933) 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, 109514496 + 109514497.

It is an arithmetic number, because the mean of its divisors is an integer number (109514497).

Almost surely, 2219028993 is an apocalyptic number.

It is an amenable number.

219028993 is a deficient number, since it is larger than the sum of its proper divisors (1).

219028993 is an equidigital number, since it uses as much as digits as its factorization.

219028993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 219028993 is about 14799.6281372202. The cubic root of 219028993 is about 602.7916144852.

The spelling of 219028993 in words is "two hundred nineteen million, twenty-eight thousand, nine hundred ninety-three".