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218616012 = 223223264029
BaseRepresentation
bin11010000011111…
…01000011001100
3120020100211210100
431001331003030
5421431203022
633405411100
75263130316
oct1501750314
9506324710
10218616012
1110244849a
1261269a90
13363a47b4
142106a7b6
15142d51ac
hexd07d0cc

218616012 has 36 divisors (see below), whose sum is σ = 576641520. Its totient is φ = 69703392.

The previous prime is 218616011. The next prime is 218616019. The reversal of 218616012 is 210616812.

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

It is not an unprimeable number, because it can be changed into a prime (218616011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131187 + ... + 132842.

It is an arithmetic number, because the mean of its divisors is an integer number (16017820).

Almost surely, 2218616012 is an apocalyptic number.

It is an amenable number.

218616012 is an abundant number, since it is smaller than the sum of its proper divisors (358025508).

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

218616012 is a wasteful number, since it uses less digits than its factorization.

218616012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264062 (or 264057 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 218616012 is about 14785.6691427882. The cubic root of 218616012 is about 602.4125199114.

The spelling of 218616012 in words is "two hundred eighteen million, six hundred sixteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 264029 528058 792087 1056116 1584174 2376261 3168348 4752522 6072667 9505044 12145334 18218001 24290668 36436002 54654003 72872004 109308006 218616012