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2220022344241 = 13229452973341
BaseRepresentation
bin100000010011100011101…
…001001010101000110001
321212020021011201000020201
4200103203221022220301
5242333101210003431
64415510355235201
7316251136400362
oct40234351125061
97766234630221
102220022344241
11786562812619
122ba308ba8b01
13131468a82600
1479641bd1b69
153cb34133461
hex204e3a4aa31

2220022344241 has 12 divisors (see below), whose sum is σ = 2486823647580. Its totient is φ = 1978587549120.

The previous prime is 2220022344233. The next prime is 2220022344247. The reversal of 2220022344241 is 1424432200222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 207142406641 + 2012879937600 = 455129^2 + 1418760^2 .

It is not a de Polignac number, because 2220022344241 - 23 = 2220022344233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2220022344247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226481770 + ... + 226491571.

It is an arithmetic number, because the mean of its divisors is an integer number (207235303965).

Almost surely, 22220022344241 is an apocalyptic number.

It is an amenable number.

2220022344241 is a deficient number, since it is larger than the sum of its proper divisors (266801303339).

2220022344241 is a wasteful number, since it uses less digits than its factorization.

2220022344241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452973396 (or 452973383 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2220022344241 its reverse (1424432200222), we get a palindrome (3644454544463).

The spelling of 2220022344241 in words is "two trillion, two hundred twenty billion, twenty-two million, three hundred forty-four thousand, two hundred forty-one".

Divisors: 1 13 29 169 377 4901 452973341 5888653433 13136226889 76552494629 170770949557 2220022344241