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218398216 = 23972291229
BaseRepresentation
bin11010000010001…
…11111000001000
3120012221210000211
431001013320020
5421402220331
633401010504
75261232331
oct1501077010
9505853024
10218398216
111023098a3
1261183a34
133632961a
1421011288
15142908b1
hexd047e08

218398216 has 32 divisors (see below), whose sum is σ = 415863000. Its totient is φ = 107513856.

The previous prime is 218398211. The next prime is 218398241. The reversal of 218398216 is 612893812.

218398216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 211586116 + 6812100 = 14546^2 + 2610^2 .

It is not an unprimeable number, because it can be changed into a prime (218398211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 177090 + ... + 178318.

Almost surely, 2218398216 is an apocalyptic number.

It is an amenable number.

218398216 is a deficient number, since it is larger than the sum of its proper divisors (197464784).

218398216 is a wasteful number, since it uses less digits than its factorization.

218398216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1557 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 218398216 is about 14778.3022028919. The cubic root of 218398216 is about 602.2124024690.

The spelling of 218398216 in words is "two hundred eighteen million, three hundred ninety-eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 97 194 229 388 458 776 916 1229 1832 2458 4916 9832 22213 44426 88852 119213 177704 238426 281441 476852 562882 953704 1125764 2251528 27299777 54599554 109199108 218398216