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218006774233 is a prime number
BaseRepresentation
bin1100101100001000110…
…1110110000111011001
3202211201021012121000121
43023002031312013121
512032434213233413
6244052333433241
721515261002033
oct3130215660731
9684637177017
10218006774233
11845021601a6
123630203b821
1317733a81c81
14a7a1792c53
155a0e219b8d
hex32c23761d9

218006774233 has 2 divisors, whose sum is σ = 218006774234. Its totient is φ = 218006774232.

The previous prime is 218006774207. The next prime is 218006774243. The reversal of 218006774233 is 332477600812.

218006774233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140292946249 + 77713827984 = 374557^2 + 278772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218006774233 is a prime.

It is a super-2 number, since 2×2180067742332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218006774233.

It is not a weakly prime, because it can be changed into another prime (218006774243) 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, 109003387116 + 109003387117.

It is an arithmetic number, because the mean of its divisors is an integer number (109003387117).

Almost surely, 2218006774233 is an apocalyptic number.

It is an amenable number.

218006774233 is a deficient number, since it is larger than the sum of its proper divisors (1).

218006774233 is an equidigital number, since it uses as much as digits as its factorization.

218006774233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 218006774233 in words is "two hundred eighteen billion, six million, seven hundred seventy-four thousand, two hundred thirty-three".