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2192085 = 32576959
BaseRepresentation
bin1000010111001011010101
311010100222100
420113023111
51030121320
6114552313
724426630
oct10271325
94110870
102192085
111267a45
12898699
135b99bc
14410c17
152d4790
hex2172d5

2192085 has 24 divisors (see below), whose sum is σ = 4343040. Its totient is φ = 1001952.

The previous prime is 2192077. The next prime is 2192089. The reversal of 2192085 is 5802912.

2192085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2192085 - 23 = 2192077 is a prime.

2192085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192089) 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 23 ways as a sum of consecutive naturals, for example, 3165 + ... + 3794.

It is an arithmetic number, because the mean of its divisors is an integer number (180960).

22192085 is an apocalyptic number.

It is an amenable number.

2192085 is a deficient number, since it is larger than the sum of its proper divisors (2150955).

2192085 is a wasteful number, since it uses less digits than its factorization.

2192085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2192085 is about 1480.5691473214. The cubic root of 2192085 is about 129.9029848176.

Adding to 2192085 its reverse (5802912), we get a palindrome (7994997).

It can be divided in two parts, 219 and 2085, that added together give a square (2304 = 482).

The spelling of 2192085 in words is "two million, one hundred ninety-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 6959 20877 34795 48713 62631 104385 146139 243565 313155 438417 730695 2192085