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218046133 is a prime number
BaseRepresentation
bin11001111111100…
…01111010110101
3120012021220001201
430333301322311
5421304434013
633345252501
75255235004
oct1477617265
9505256051
10218046133
11102099318
1261034131
13362352a6
1420d5cc3b
15142213dd
hexcff1eb5

218046133 has 2 divisors, whose sum is σ = 218046134. Its totient is φ = 218046132.

The previous prime is 218046121. The next prime is 218046137. The reversal of 218046133 is 331640812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210772324 + 7273809 = 14518^2 + 2697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218046133 is a prime.

It is a super-2 number, since 2×2180461332 = 95088232232507378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218046137) 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, 109023066 + 109023067.

It is an arithmetic number, because the mean of its divisors is an integer number (109023067).

Almost surely, 2218046133 is an apocalyptic number.

It is an amenable number.

218046133 is a deficient number, since it is larger than the sum of its proper divisors (1).

218046133 is an equidigital number, since it uses as much as digits as its factorization.

218046133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 218046133 is about 14766.3852381008. The cubic root of 218046133 is about 601.8886165676. Note that the first 3 decimals are identical.

Adding to 218046133 its reverse (331640812), we get a palindrome (549686945).

The spelling of 218046133 in words is "two hundred eighteen million, forty-six thousand, one hundred thirty-three".