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217385116 = 221341101963
BaseRepresentation
bin11001111010100…
…00100010011100
3120011001022022121
430331100202130
5421122310431
633323152324
75246512564
oct1475204234
9504038277
10217385116
11101787723
12609756a4
1336063460
1420c29da4
1514140611
hexcf5089c

217385116 has 24 divisors (see below), whose sum is σ = 419683824. Its totient is φ = 97883520.

The previous prime is 217385093. The next prime is 217385117. The reversal of 217385116 is 611583712.

It is a happy number.

217385116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217385117) 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 7 ways as a sum of consecutive naturals, for example, 48850 + ... + 53113.

It is an arithmetic number, because the mean of its divisors is an integer number (17486826).

Almost surely, 2217385116 is an apocalyptic number.

217385116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

217385116 is a deficient number, since it is larger than the sum of its proper divisors (202298708).

217385116 is a wasteful number, since it uses less digits than its factorization.

217385116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102021 (or 102019 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 217385116 is about 14743.9857569112. The cubic root of 217385116 is about 601.2797831326.

The spelling of 217385116 in words is "two hundred seventeen million, three hundred eighty-five thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 41 52 82 164 533 1066 2132 101963 203926 407852 1325519 2651038 4180483 5302076 8360966 16721932 54346279 108692558 217385116