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2225205 = 33553311
BaseRepresentation
bin1000011111010000110101
311012001102000
420133100311
51032201310
6115405513
724625323
oct10372065
94161360
102225205
11128a914
128b3899
135cbab8
1441cd13
152de4c0
hex21f435

2225205 has 32 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 1160640.

The previous prime is 2225203. The next prime is 2225221. The reversal of 2225205 is 5025222.

2225205 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 2225205 - 21 = 2225203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225203) 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 31 ways as a sum of consecutive naturals, for example, 7000 + ... + 7310.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

22225205 is an apocalyptic number.

It is an amenable number.

2225205 is a deficient number, since it is larger than the sum of its proper divisors (1818315).

2225205 is a wasteful number, since it uses less digits than its factorization.

2225205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2225205 is about 1491.7121035910. The cubic root of 2225205 is about 130.5539478366.

The spelling of 2225205 in words is "two million, two hundred twenty-five thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 311 477 795 933 1431 1555 2385 2799 4665 7155 8397 13995 16483 41985 49449 82415 148347 247245 445041 741735 2225205