Search a number
-
+
32020220505 = 35713374311471
BaseRepresentation
bin11101110100100011…
…011100101001011001
310001122112200201220210
4131310203130221121
51011034134024010
622413200241333
72212330245360
oct356443345131
9101575621823
1032020220505
1112641641659
126257610249
133033a9c050
14179a8887d7
15c76182b20
hex7748dca59

32020220505 has 128 divisors (see below), whose sum is σ = 64953778176. Its totient is φ = 13107225600.

The previous prime is 32020220501. The next prime is 32020220527. The reversal of 32020220505 is 50502202023.

It is not a de Polignac number, because 32020220505 - 22 = 32020220501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (32020220501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21766920 + ... + 21768390.

It is an arithmetic number, because the mean of its divisors is an integer number (507451392).

Almost surely, 232020220505 is an apocalyptic number.

32020220505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32020220505 is an abundant number, since it is smaller than the sum of its proper divisors (32933557671).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32020220505 is a wasteful number, since it uses less digits than its factorization.

32020220505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967.

The product of its (nonzero) digits is 1200, while the sum is 21.

Adding to 32020220505 its reverse (50502202023), we get a palindrome (82522422528).

The spelling of 32020220505 in words is "thirty-two billion, twenty million, two hundred twenty thousand, five hundred five".

Divisors: 1 3 5 7 13 15 21 35 37 39 65 91 105 111 185 195 259 273 431 455 481 555 777 1293 1295 1365 1443 1471 2155 2405 3017 3367 3885 4413 5603 6465 7215 7355 9051 10101 10297 15085 15947 16809 16835 19123 22065 28015 30891 39221 45255 47841 50505 51485 54427 57369 79735 84045 95615 111629 117663 133861 154455 163281 196105 207311 239205 272135 286845 334887 380989 401583 558145 588315 621933 634001 669305 707551 816405 1036555 1142967 1451177 1674435 1902003 1904945 2007915 2122653 3109665 3170005 3537755 4353531 4438007 4952857 5714835 7255885 8242013 9510015 10613265 13314021 14858571 21767655 22190035 23458037 24726039 24764285 41210065 57694091 66570105 70374111 74292855 117290185 123630195 164206259 173082273 288470455 304954481 351870555 492618777 821031295 865411365 914863443 1524772405 2134681367 2463093885 4574317215 6404044101 10673406835 32020220505