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66022016 = 271730341
BaseRepresentation
bin1111101111011…
…0101010000000
311121020021011212
43323312222000
5113400201031
610315025252
71431115004
oct373665200
9147207155
1066022016
11342a4355
121a13b228
13108a7ca8
148aa8704
155be212b
hex3ef6a80

66022016 has 32 divisors (see below), whose sum is σ = 139269780. Its totient is φ = 31068160.

The previous prime is 66021997. The next prime is 66022027. The reversal of 66022016 is 61022066.

It can be written as a sum of positive squares in 2 ways, for example, as 65934400 + 87616 = 8120^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 66021982 and 66022000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12995 + ... + 17346.

Almost surely, 266022016 is an apocalyptic number.

It is an amenable number.

66022016 is an abundant number, since it is smaller than the sum of its proper divisors (73247764).

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

66022016 is a wasteful number, since it uses less digits than its factorization.

66022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30372 (or 30360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 66022016 is about 8125.3932827895. The cubic root of 66022016 is about 404.1689323901.

The spelling of 66022016 in words is "sixty-six million, twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 30341 60682 121364 242728 485456 515797 970912 1031594 1941824 2063188 3883648 4126376 8252752 16505504 33011008 66022016