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218325105 = 33519471811
BaseRepresentation
bin11010000001101…
…10000001110001
3120012211001202000
431000312001301
5421342400410
633355244213
75260506225
oct1500660161
9505731660
10218325105
11102269979
1261149669
133630226b
1420dd2785
1514278dc0
hexd036071

218325105 has 64 divisors (see below), whose sum is σ = 417484800. Its totient is φ = 107904960.

The previous prime is 218325091. The next prime is 218325167. The reversal of 218325105 is 501523812.

It is a happy number.

It is not a de Polignac number, because 218325105 - 212 = 218321009 is a prime.

It is a super-2 number, since 2×2183251052 = 95331702946522050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 119650 + ... + 121460.

It is an arithmetic number, because the mean of its divisors is an integer number (6523200).

Almost surely, 2218325105 is an apocalyptic number.

It is an amenable number.

218325105 is a deficient number, since it is larger than the sum of its proper divisors (199159695).

218325105 is a wasteful number, since it uses less digits than its factorization.

218325105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 218325105 is about 14775.8284031725. The cubic root of 218325105 is about 602.1451960823.

Adding to 218325105 its reverse (501523812), we get a palindrome (719848917).

The spelling of 218325105 in words is "two hundred eighteen million, three hundred twenty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 19 27 45 47 57 95 135 141 171 235 285 423 513 705 855 893 1269 1811 2115 2565 2679 4465 5433 6345 8037 9055 13395 16299 24111 27165 34409 40185 48897 81495 85117 103227 120555 172045 244485 255351 309681 425585 516135 766053 929043 1276755 1548405 1617223 2298159 3830265 4645215 4851669 8086115 11490795 14555007 24258345 43665021 72775035 218325105