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2005322604220 = 22513411731087379
BaseRepresentation
bin11101001011100110100…
…010101001111010111100
321002201002101021011022201
4131023212202221322330
5230323400041313340
64133122114521244
7264610522615435
oct35134642517274
97081071234281
102005322604220
117034a8371151
1228478a596224
131171411a6620
146d0b572a48c
153726a40a79a
hex1d2e68a9ebc

2005322604220 has 96 divisors (see below), whose sum is σ = 4672584947520. Its totient is φ = 718191421440.

The previous prime is 2005322604217. The next prime is 2005322604223. The reversal of 2005322604220 is 224062235002.

It is an interprime number because it is at equal distance from previous prime (2005322604217) and next prime (2005322604223).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005322604223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300491 + ... + 2387869.

It is an arithmetic number, because the mean of its divisors is an integer number (48672759870).

Almost surely, 22005322604220 is an apocalyptic number.

2005322604220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005322604220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336292473760).

2005322604220 is an abundant number, since it is smaller than the sum of its proper divisors (2667262343300).

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

2005322604220 is a wasteful number, since it uses less digits than its factorization.

2005322604220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087615 (or 1087613 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 2005322604220 its reverse (224062235002), we get a palindrome (2229384839222).

The spelling of 2005322604220 in words is "two trillion, five billion, three hundred twenty-two million, six hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 173 205 260 346 410 533 692 820 865 1066 1730 2132 2249 2665 3460 4498 5330 7093 8996 10660 11245 14186 22490 28372 35465 44980 70930 92209 141860 184418 368836 461045 922090 1087379 1844180 2174758 4349516 5436895 10873790 14135927 21747580 28271854 44582539 56543708 70679635 89165078 141359270 178330156 188116567 222912695 282718540 376233134 445825390 579573007 752466268 891650780 940582835 1159146014 1881165670 2318292028 2445515371 2897865035 3762331340 4891030742 5795730070 7712779247 9782061484 11591460140 12227576855 15425558494 24455153710 30851116988 38563896235 48910307420 77127792470 100266130211 154255584940 200532260422 401064520844 501330651055 1002661302110 2005322604220