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102218229 = 3217668093
BaseRepresentation
bin1100001011110…
…11100111110101
321010100020001100
412011323213311
5202131440404
614050520313
72350561221
oct605734765
9233306040
10102218229
1152777083
122a296099
131823c379
14d80b781
158e91d39
hex617b9f5

102218229 has 12 divisors (see below), whose sum is σ = 156333996. Its totient is φ = 64136832.

The previous prime is 102218227. The next prime is 102218231. The reversal of 102218229 is 922812201.

It is an interprime number because it is at equal distance from previous prime (102218227) and next prime (102218231).

It can be written as a sum of positive squares in 2 ways, for example, as 45562500 + 56655729 = 6750^2 + 7527^2 .

It is not a de Polignac number, because 102218229 - 21 = 102218227 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102218227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333894 + ... + 334199.

It is an arithmetic number, because the mean of its divisors is an integer number (13027833).

Almost surely, 2102218229 is an apocalyptic number.

It is an amenable number.

102218229 is a deficient number, since it is larger than the sum of its proper divisors (54115767).

102218229 is a wasteful number, since it uses less digits than its factorization.

102218229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668116 (or 668113 counting only the distinct ones).

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

The square root of 102218229 is about 10110.3031111832. The cubic root of 102218229 is about 467.5658503903.

The spelling of 102218229 in words is "one hundred two million, two hundred eighteen thousand, two hundred twenty-nine".

Divisors: 1 3 9 17 51 153 668093 2004279 6012837 11357581 34072743 102218229