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66000222 = 23217215687
BaseRepresentation
bin1111101111000…
…1010101011110
311121012011021200
43323301111132
5113344001342
610314340330
71430664321
oct373612536
9147164250
1066000222
1134289a42
121a12a6a6
131089b0b2
148aa07b8
155bda94c
hex3ef155e

66000222 has 24 divisors (see below), whose sum is σ = 151412976. Its totient is φ = 20705856.

The previous prime is 66000217. The next prime is 66000223. The reversal of 66000222 is 22200066.

66000222 is a `hidden beast` number, since 660 + 0 + 0 + 2 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

66000222 is a modest number, since divided by 222 gives 66 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66000195 and 66000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000223) 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, 107538 + ... + 108149.

It is an arithmetic number, because the mean of its divisors is an integer number (6308874).

Almost surely, 266000222 is an apocalyptic number.

66000222 is an abundant number, since it is smaller than the sum of its proper divisors (85412754).

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

66000222 is a wasteful number, since it uses less digits than its factorization.

66000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215712 (or 215709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66000222 is about 8124.0520677800. The cubic root of 66000222 is about 404.1244551704.

Adding to 66000222 its reverse (22200066), we get a palindrome (88200288).

The spelling of 66000222 in words is "sixty-six million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 215687 431374 647061 1294122 1941183 3666679 3882366 7333358 11000037 22000074 33000111 66000222