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66226131 = 3223463691
BaseRepresentation
bin1111110010100…
…0011111010011
311121121122011200
43330220133103
5113423214011
610323242243
71432625046
oct374503723
9147548150
1066226131
1134423744
121a219383
1310949b7a
148b1cc5d
155c32856
hex3f287d3

66226131 has 24 divisors (see below), whose sum is σ = 100179456. Its totient is φ = 42078960.

The previous prime is 66226129. The next prime is 66226151. The reversal of 66226131 is 13162266.

66226131 is a `hidden beast` number, since 6 + 622 + 6 + 1 + 31 = 666.

It is not a de Polignac number, because 66226131 - 21 = 66226129 is a prime.

It is a super-2 number, since 2×662261312 = 8771800854458322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66226095 and 66226104.

It is not an unprimeable number, because it can be changed into a prime (66226151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95496 + ... + 96186.

It is an arithmetic number, because the mean of its divisors is an integer number (4174144).

Almost surely, 266226131 is an apocalyptic number.

66226131 is a deficient number, since it is larger than the sum of its proper divisors (33953325).

66226131 is a wasteful number, since it uses less digits than its factorization.

66226131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1180 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66226131 is about 8137.9439049431. The cubic root of 66226131 is about 404.5850161752.

Adding to 66226131 its reverse (13162266), we get a palindrome (79388397).

The spelling of 66226131 in words is "sixty-six million, two hundred twenty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 207 463 691 1389 2073 4167 6219 10649 15893 31947 47679 95841 143037 319933 959799 2879397 7358459 22075377 66226131