Search a number
-
+
220220322140 = 2257131031174759
BaseRepresentation
bin1100110100011000100…
…1110111000101011100
3210001102112101110220102
43031012021313011130
512102002400302030
6245100125440232
721624156565340
oct3150611670534
9701375343812
10220220322140
11854386a3535
123681b410078
13179c7548030
14a931759620
155add710c45
hex334627715c

220220322140 has 96 divisors (see below), whose sum is σ = 574711388160. Its totient is φ = 69019382016.

The previous prime is 220220322139. The next prime is 220220322173. The reversal of 220220322140 is 41223022022.

220220322140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 399920 + ... + 774839.

It is an arithmetic number, because the mean of its divisors is an integer number (5986576960).

Almost surely, 2220220322140 is an apocalyptic number.

220220322140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220322140 is an abundant number, since it is smaller than the sum of its proper divisors (354491066020).

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

220220322140 is a wasteful number, since it uses less digits than its factorization.

220220322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174891 (or 1174889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220220322140 its reverse (41223022022), we get a palindrome (261443344162).

The spelling of 220220322140 in words is "two hundred twenty billion, two hundred twenty million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 130 140 182 206 260 364 412 455 515 721 910 1030 1339 1442 1820 2060 2678 2884 3605 5356 6695 7210 9373 13390 14420 18746 26780 37492 46865 93730 187460 1174759 2349518 4699036 5873795 8223313 11747590 15271867 16446626 23495180 30543734 32893252 41116565 61087468 76359335 82233130 106903069 121000177 152718670 164466260 213806138 242000354 305437340 427612276 484000708 534515345 605000885 847001239 1069030690 1210001770 1573002301 1694002478 2138061380 2420003540 3146004602 3388004956 4235006195 6292009204 7865011505 8470012390 11011016107 15730023010 16940024780 22022032214 31460046020 44044064428 55055080535 110110161070 220220322140