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218742016 = 28854461
BaseRepresentation
bin11010000100110…
…11110100000000
3120020121020122011
431002123310000
5421444221031
633412222304
75264163553
oct1502336400
9506536564
10218742016
11102524129
126130a994
1336419c5c
14210a069a
151430c6b1
hexd09bd00

218742016 has 18 divisors (see below), whose sum is σ = 436630082. Its totient is φ = 109370880.

The previous prime is 218741981. The next prime is 218742023. The reversal of 218742016 is 610247812.

218742016 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 only one way, i.e., 204604416 + 14137600 = 14304^2 + 3760^2 .

It is a congruent number.

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 as a sum of consecutive naturals, namely, 426975 + ... + 427486.

Almost surely, 2218742016 is an apocalyptic number.

It is an amenable number.

218742016 is a deficient number, since it is larger than the sum of its proper divisors (217888066).

218742016 is an frugal number, since it uses more digits than its factorization.

218742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854477 (or 854463 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 218742016 is about 14789.9295468234. The cubic root of 218742016 is about 602.5282354495.

Adding to 218742016 its reverse (610247812), we get a palindrome (828989828).

The spelling of 218742016 in words is "two hundred eighteen million, seven hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 854461 1708922 3417844 6835688 13671376 27342752 54685504 109371008 218742016