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218541149 is a prime number
BaseRepresentation
bin11010000011010…
…10110001011101
3120020020001002122
431001222301131
5421421304044
633404032325
75262366131
oct1501526135
9506201078
10218541149
111023a7222
12612326a5
13363796b8
142104b3c1
15142bcdee
hexd06ac5d

218541149 has 2 divisors, whose sum is σ = 218541150. Its totient is φ = 218541148.

The previous prime is 218541139. The next prime is 218541151. The reversal of 218541149 is 941145812.

218541149 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., 215884249 + 2656900 = 14693^2 + 1630^2 .

It is a cyclic number.

It is not a de Polignac number, because 218541149 - 220 = 217492573 is a prime.

Together with 218541151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218541119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109270574 + 109270575.

It is an arithmetic number, because the mean of its divisors is an integer number (109270575).

Almost surely, 2218541149 is an apocalyptic number.

It is an amenable number.

218541149 is a deficient number, since it is larger than the sum of its proper divisors (1).

218541149 is an equidigital number, since it uses as much as digits as its factorization.

218541149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11520, while the sum is 35.

The square root of 218541149 is about 14783.1373192567. The cubic root of 218541149 is about 602.3437485577.

It can be divided in two parts, 2185 and 41149, that added together give a palindrome (43334).

The spelling of 218541149 in words is "two hundred eighteen million, five hundred forty-one thousand, one hundred forty-nine".