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83014164 = 22322305949
BaseRepresentation
bin1001111001010…
…11001000010100
312210012120000200
410330223020110
5132222423124
612123140500
72025415542
oct474531024
9183176020
1083014164
114294a852
1223974730
131427730c
14b04cd92
15744bbc9
hex4f2b214

83014164 has 18 divisors (see below), whose sum is σ = 209841450. Its totient is φ = 27671376.

The previous prime is 83014163. The next prime is 83014171. The reversal of 83014164 is 46141038.

It can be written as a sum of positive squares in only one way, i.e., 79923600 + 3090564 = 8940^2 + 1758^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83014163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1152939 + ... + 1153010.

Almost surely, 283014164 is an apocalyptic number.

It is an amenable number.

83014164 is an abundant number, since it is smaller than the sum of its proper divisors (126827286).

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

83014164 is a wasteful number, since it uses less digits than its factorization.

83014164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305959 (or 2305954 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83014164 is about 9111.2108964725. The cubic root of 83014164 is about 436.2318787338.

The spelling of 83014164 in words is "eighty-three million, fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2305949 4611898 6917847 9223796 13835694 20753541 27671388 41507082 83014164