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66220308 = 22337117963
BaseRepresentation
bin1111110010011…
…1000100010100
311121121100012000
43330213010110
5113423022213
610323155300
71432602060
oct374470424
9147540160
1066220308
113441a330
121a215b30
131094731b
148b1aaa0
155c30c73
hex3f27114

66220308 has 96 divisors (see below), whose sum is σ = 214072320. Its totient is φ = 17197920.

The previous prime is 66220291. The next prime is 66220337. The reversal of 66220308 is 80302266.

66220308 = 172 + 182 + ... + 5832.

66220308 is a `hidden beast` number, since 6 + 622 + 0 + 30 + 8 = 666.

66220308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×662203082 = 8770258383229728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4335 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (2229920).

Almost surely, 266220308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66220308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107036160).

66220308 is an abundant number, since it is smaller than the sum of its proper divisors (147852012).

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

66220308 is a wasteful number, since it uses less digits than its factorization.

66220308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66220308 is about 8137.5861285765. The cubic root of 66220308 is about 404.5731579778.

The spelling of 66220308 in words is "sixty-six million, two hundred twenty thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 7963 8316 15926 23889 31852 47778 55741 71667 87593 95556 111482 143334 167223 175186 215001 222964 262779 286668 334446 350372 430002 501669 525558 613151 668892 788337 860004 1003338 1051116 1226302 1505007 1576674 1839453 2006676 2365011 2452604 3010014 3153348 3678906 4730022 5518359 6020028 7357812 9460044 11036718 16555077 22073436 33110154 66220308