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2195329 = 17296173
BaseRepresentation
bin1000010111111110000001
311010112102111
420113332001
51030222304
6115015321
724442243
oct10277601
94115374
102195329
11126a424
1289a541
135bb316
14412093
152d5704
hex217f81

2195329 has 16 divisors (see below), whose sum is σ = 2477520. Its totient is φ = 1935360.

The previous prime is 2195311. The next prime is 2195339. The reversal of 2195329 is 9235912.

2195329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 25600 + 2169729 = 160^2 + 1473^2 .

It is a cyclic number.

It is not a de Polignac number, because 2195329 - 27 = 2195201 is a prime.

It is a Duffinian number.

Its product of digits (4860) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 2195329.

It is not an unprimeable number, because it can be changed into a prime (2195339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30037 + ... + 30109.

It is an arithmetic number, because the mean of its divisors is an integer number (154845).

22195329 is an apocalyptic number.

2195329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2195329 is a deficient number, since it is larger than the sum of its proper divisors (282191).

2195329 is a wasteful number, since it uses less digits than its factorization.

2195329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its digits is 4860, while the sum is 31.

The square root of 2195329 is about 1481.6642669647. The cubic root of 2195329 is about 129.9670330607.

The spelling of 2195329 in words is "two million, one hundred ninety-five thousand, three hundred twenty-nine".

Divisors: 1 17 29 61 73 493 1037 1241 1769 2117 4453 30073 35989 75701 129137 2195329