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20475225 = 32521753101
BaseRepresentation
bin100111000011…
…0110101011001
31102112020201200
41032012311121
520220201400
62010504413
7336015351
oct116066531
942466650
1020475225
1110615381
126a35109
13431b824
142a0db61
151be6b00
hex1386d59

20475225 has 72 divisors (see below), whose sum is σ = 39955032. Its totient is φ = 9984000.

The previous prime is 20475197. The next prime is 20475253. The reversal of 20475225 is 52257402.

It is an interprime number because it is at equal distance from previous prime (20475197) and next prime (20475253).

It can be written as a sum of positive squares in 12 ways, for example, as 8649 + 20466576 = 93^2 + 4524^2 .

It is not a de Polignac number, because 20475225 - 28 = 20474969 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202675 + ... + 202775.

It is an arithmetic number, because the mean of its divisors is an integer number (554931).

Almost surely, 220475225 is an apocalyptic number.

20475225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20475225 is a deficient number, since it is larger than the sum of its proper divisors (19479807).

20475225 is a wasteful number, since it uses less digits than its factorization.

20475225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 20475225 is about 4524.9558008891. The cubic root of 20475225 is about 273.5748864427.

The spelling of 20475225 in words is "twenty million, four hundred seventy-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 53 75 85 101 153 159 225 255 265 303 425 477 505 765 795 901 909 1275 1325 1515 1717 2385 2525 2703 3825 3975 4505 4545 5151 5353 7575 8109 8585 11925 13515 15453 16059 22525 22725 25755 26765 40545 42925 48177 67575 77265 80295 91001 128775 133825 202725 240885 273003 386325 401475 455005 819009 1204425 1365015 2275025 4095045 6825075 20475225