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2220032233205 = 517193241561521
BaseRepresentation
bin100000010011100100001…
…110111000111011110101
321212020021212022102100122
4200103210032320323311
5242333111222430310
64415511351221325
7316251316425233
oct40234416707365
97766255272318
102220032233205
11786568357316
122ba310377845
1313146ab35777
1479643247953
153cb34e38555
hex204e43b8ef5

2220032233205 has 32 divisors (see below), whose sum is σ = 2847132164448. Its totient is φ = 1655989862400.

The previous prime is 2220032233187. The next prime is 2220032233207. The reversal of 2220032233205 is 5023322300222.

2220032233205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 392103897124 + 1827928336081 = 626182^2 + 1352009^2 .

It is not a de Polignac number, because 2220032233205 - 228 = 2219763797749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220032233207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3672845 + ... + 4234365.

It is an arithmetic number, because the mean of its divisors is an integer number (88972880139).

Almost surely, 22220032233205 is an apocalyptic number.

It is an amenable number.

2220032233205 is a deficient number, since it is larger than the sum of its proper divisors (627099931243).

2220032233205 is a wasteful number, since it uses less digits than its factorization.

2220032233205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561977.

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 2220032233205 its reverse (5023322300222), we get a palindrome (7243354533427).

The spelling of 2220032233205 in words is "two trillion, two hundred twenty billion, thirty-two million, two hundred thirty-three thousand, two hundred five".

Divisors: 1 5 17 85 193 241 965 1205 3281 4097 16405 20485 46513 232565 561521 790721 2807605 3953605 9545857 47729285 108373553 135326561 541867765 676632805 1842350401 2300551537 9211752005 11502757685 26118026273 130590131365 444006446641 2220032233205