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83085174 = 23229159167
BaseRepresentation
bin1001111001111…
…00011101110110
312210100011102200
410330330131312
5132232211144
612124445330
72026132554
oct474743566
9183304380
1083085174
1142999137
12239a9846
13142a0733
14b06abd4
157462c69
hex4f3c776

83085174 has 24 divisors (see below), whose sum is σ = 186226560. Its totient is φ = 26739888.

The previous prime is 83085173. The next prime is 83085181. The reversal of 83085174 is 47158038.

It is a super-2 number, since 2×830851742 = 13806292277220552, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83085173) 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, 79062 + ... + 80105.

It is an arithmetic number, because the mean of its divisors is an integer number (7759440).

Almost surely, 283085174 is an apocalyptic number.

83085174 is an abundant number, since it is smaller than the sum of its proper divisors (103141386).

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

83085174 is a wasteful number, since it uses less digits than its factorization.

83085174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159204 (or 159201 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 83085174 is about 9115.1069110571. The cubic root of 83085174 is about 436.3562269812.

The spelling of 83085174 in words is "eighty-three million, eighty-five thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 159167 318334 477501 955002 1432503 2865006 4615843 9231686 13847529 27695058 41542587 83085174