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2224141204005 = 325716519427433
BaseRepresentation
bin100000010111011001001…
…001010111101000100101
321212121220020001202122100
4200113121021113220211
5242420020122012010
64421431212522313
7316455202206030
oct40273111275045
97777806052570
102224141204005
117882867a9956
122bb078480399
131319741bbc36
1479912c46017
153ccc5a362c0
hex205d9257a25

2224141204005 has 48 divisors (see below), whose sum is σ = 4406194840320. Its totient is φ = 1016686335744.

The previous prime is 2224141204003. The next prime is 2224141204007. The reversal of 2224141204005 is 5004021414222.

It is a happy number.

2224141204005 is a `hidden beast` number, since 2 + 2 + 241 + 4 + 12 + 0 + 400 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2224141204003) and next prime (2224141204007).

It is not a de Polignac number, because 2224141204005 - 21 = 2224141204003 is a prime.

It is a super-2 number, since 2×22241412040052 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2224141204005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224141204003) 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 47 ways as a sum of consecutive naturals, for example, 4989769 + ... + 5417201.

It is an arithmetic number, because the mean of its divisors is an integer number (91795725840).

Almost surely, 22224141204005 is an apocalyptic number.

It is an amenable number.

2224141204005 is a deficient number, since it is larger than the sum of its proper divisors (2182053636315).

2224141204005 is a wasteful number, since it uses less digits than its factorization.

2224141204005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443970 (or 443967 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 2224141204005 its reverse (5004021414222), we get a palindrome (7228162618227).

The spelling of 2224141204005 in words is "two trillion, two hundred twenty-four billion, one hundred forty-one million, two hundred four thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 16519 49557 82595 115633 148671 247785 346899 427433 578165 743355 1040697 1282299 1734495 2137165 2992031 3846897 5203485 6411495 8976093 14960155 19234485 26928279 44880465 134641395 7060765727 21182297181 35303828635 49425360089 63546891543 105911485905 148276080267 247126800445 317734457715 444828240801 741380401335 2224141204005