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218323044 = 223217356737
BaseRepresentation
bin11010000001101…
…01100001100100
3120012210221220200
431000311201210
5421342314134
633355230500
75260500222
oct1500654144
9505727820
10218323044
11102268375
1261148430
1336301344
1420dd1b12
1514278499
hexd035864

218323044 has 36 divisors (see below), whose sum is σ = 584336844. Its totient is φ = 68493312.

The previous prime is 218323019. The next prime is 218323103. The reversal of 218323044 is 440323812.

It can be written as a sum of positive squares in 2 ways, for example, as 197964900 + 20358144 = 14070^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 218322999 and 218323017.

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 11 ways as a sum of consecutive naturals, for example, 177757 + ... + 178980.

It is an arithmetic number, because the mean of its divisors is an integer number (16231579).

Almost surely, 2218323044 is an apocalyptic number.

It is an amenable number.

218323044 is an abundant number, since it is smaller than the sum of its proper divisors (366013800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218323044 is a wasteful number, since it uses less digits than its factorization.

218323044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356764 (or 356759 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 218323044 is about 14775.7586607253. The cubic root of 218323044 is about 602.1433013160.

Adding to 218323044 its reverse (440323812), we get a palindrome (658646856).

The spelling of 218323044 in words is "two hundred eighteen million, three hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 356737 713474 1070211 1426948 2140422 3210633 4280844 6064529 6421266 12129058 12842532 18193587 24258116 36387174 54580761 72774348 109161522 218323044