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20016225 = 3252175233
BaseRepresentation
bin100110001011…
…0110001100001
31101122221002200
41030112301201
520111004400
61553003413
7332064225
oct114266141
941587080
1020016225
1110331539
126853569
1341ba928
142930785
151b55b00
hex1316c61

20016225 has 36 divisors (see below), whose sum is σ = 37967436. Its totient is φ = 10045440.

The previous prime is 20016221. The next prime is 20016229. The reversal of 20016225 is 52261002.

It is an interprime number because it is at equal distance from previous prime (20016221) and next prime (20016229).

It can be written as a sum of positive squares in 6 ways, for example, as 1766241 + 18249984 = 1329^2 + 4272^2 .

It is not a de Polignac number, because 20016225 - 22 = 20016221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20016198 and 20016207.

It is not an unprimeable number, because it can be changed into a prime (20016221) 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 35 ways as a sum of consecutive naturals, for example, 1209 + ... + 6441.

It is an arithmetic number, because the mean of its divisors is an integer number (1054651).

Almost surely, 220016225 is an apocalyptic number.

20016225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20016225 is a deficient number, since it is larger than the sum of its proper divisors (17951211).

20016225 is a wasteful number, since it uses less digits than its factorization.

20016225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20016225 is about 4473.9495973915. The cubic root of 20016225 is about 271.5151441956.

Adding to 20016225 its reverse (52261002), we get a palindrome (72277227).

The spelling of 20016225 in words is "twenty million, sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 5233 15699 26165 47097 78495 88961 130825 235485 266883 392475 444805 800649 1177425 1334415 2224025 4003245 6672075 20016225