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220086225 = 3252592281
BaseRepresentation
bin11010001111000…
…11111111010001
3120100010112112200
431013203333101
5422320224400
633501113413
75311462542
oct1507437721
9510115480
10220086225
11103262047
1261858869
133679aa48
14213304c9
15144c5b00
hexd1e3fd1

220086225 has 54 divisors (see below), whose sum is σ = 402420486. Its totient is φ = 114979200.

The previous prime is 220086221. The next prime is 220086227. The reversal of 220086225 is 522680022.

It can be written as a sum of positive squares in 3 ways, for example, as 24561936 + 195524289 = 4956^2 + 13983^2 .

It is not a de Polignac number, because 220086225 - 22 = 220086221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220086221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 783085 + ... + 783365.

Almost surely, 2220086225 is an apocalyptic number.

220086225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220086225 is a deficient number, since it is larger than the sum of its proper divisors (182334261).

220086225 is a wasteful number, since it uses less digits than its factorization.

220086225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220086225 is about 14835.3033336026. The cubic root of 220086225 is about 603.7599306521.

The spelling of 220086225 in words is "two hundred twenty million, eighty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 59 75 177 225 281 295 531 843 885 1405 1475 2529 2655 3481 4215 4425 7025 10443 12645 13275 16579 17405 21075 31329 49737 52215 63225 82895 87025 149211 156645 248685 261075 414475 746055 783225 978161 1243425 2934483 3730275 4890805 8803449 14672415 24454025 44017245 73362075 220086225