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218822226053 is a prime number
BaseRepresentation
bin1100101111001011010…
…0100011000010000101
3202220211002121211121212
43023302310203002011
512041121442213203
6244305303421205
721544422142424
oct3136264430205
9686732554555
10218822226053
1184890495222
12364ab154805
13178339b5042
14a83bbc12bb
155a5aae51d8
hex32f2d23085

218822226053 has 2 divisors, whose sum is σ = 218822226054. Its totient is φ = 218822226052.

The previous prime is 218822226019. The next prime is 218822226059. The reversal of 218822226053 is 350622228812.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158800656004 + 60021570049 = 398498^2 + 244993^2 .

It is a cyclic number.

It is not a de Polignac number, because 218822226053 - 230 = 217748484229 is a prime.

It is a super-2 number, since 2×2188222260532 (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 218822226053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218822226059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109411113026 + 109411113027.

It is an arithmetic number, because the mean of its divisors is an integer number (109411113027).

Almost surely, 2218822226053 is an apocalyptic number.

It is an amenable number.

218822226053 is a deficient number, since it is larger than the sum of its proper divisors (1).

218822226053 is an equidigital number, since it uses as much as digits as its factorization.

218822226053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 218822226053 in words is "two hundred eighteen billion, eight hundred twenty-two million, two hundred twenty-six thousand, fifty-three".