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220387505 = 5134122017
BaseRepresentation
bin11010010001011…
…01100010110001
3120100200211211012
431020231202301
5422404400010
633511400305
75314156112
oct1510554261
9510624735
10220387505
11103448438
1261983095
1336874c10
14213ac209
1514535005
hexd22d8b1

220387505 has 24 divisors (see below), whose sum is σ = 292069176. Its totient is φ = 158699520.

The previous prime is 220387487. The next prime is 220387529. The reversal of 220387505 is 505783022.

It can be written as a sum of positive squares in 12 ways, for example, as 162384049 + 58003456 = 12743^2 + 7616^2 .

It is not a de Polignac number, because 220387505 - 214 = 220371121 is a prime.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 108257 + ... + 110273.

It is an arithmetic number, because the mean of its divisors is an integer number (12169549).

Almost surely, 2220387505 is an apocalyptic number.

It is an amenable number.

220387505 is a deficient number, since it is larger than the sum of its proper divisors (71681671).

220387505 is a wasteful number, since it uses less digits than its factorization.

220387505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 220387505 is about 14845.4540179814. The cubic root of 220387505 is about 604.0353043192.

The spelling of 220387505 in words is "two hundred twenty million, three hundred eighty-seven thousand, five hundred five".

Divisors: 1 5 13 41 65 205 533 1681 2017 2665 8405 10085 21853 26221 82697 109265 131105 413485 1075061 3390577 5375305 16952885 44077501 220387505