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83332116 = 22327330683
BaseRepresentation
bin1001111011110…
…00110000010100
312210210201011200
410331320300110
5132313111431
612134032500
72031211530
oct475706024
9183721150
1083332116
114304771a
1223aa8730
1314358c5a
14b0d2bc0
1574b0ee6
hex4f78c14

83332116 has 36 divisors (see below), whose sum is σ = 240737952. Its totient is φ = 23809104.

The previous prime is 83332111. The next prime is 83332141. The reversal of 83332116 is 61123338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83332116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83332111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 165090 + ... + 165593.

Almost surely, 283332116 is an apocalyptic number.

It is an amenable number.

83332116 is an abundant number, since it is smaller than the sum of its proper divisors (157405836).

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

83332116 is a wasteful number, since it uses less digits than its factorization.

83332116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330700 (or 330695 counting only the distinct ones).

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

The square root of 83332116 is about 9128.6426154166. The cubic root of 83332116 is about 436.7881054806.

The spelling of 83332116 in words is "eighty-three million, three hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 330683 661366 992049 1322732 1984098 2314781 2976147 3968196 4629562 5952294 6944343 9259124 11904588 13888686 20833029 27777372 41666058 83332116