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2224334260133 is a prime number
BaseRepresentation
bin100000010111100100101…
…001110100011110100101
321212122101200100000212022
4200113210221310132211
5242420414032311013
64421502310432525
7316463035152626
oct40274451643645
97778350300768
102224334260133
11788375779877
122bb111062745
131319a51b472b
147993073ba4d
153ccd796d008
hex205e4a747a5

2224334260133 has 2 divisors, whose sum is σ = 2224334260134. Its totient is φ = 2224334260132.

The previous prime is 2224334260067. The next prime is 2224334260147. The reversal of 2224334260133 is 3310624334222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1892335886884 + 331998373249 = 1375622^2 + 576193^2 .

It is a cyclic number.

It is not a de Polignac number, because 2224334260133 - 28 = 2224334259877 is a prime.

It is a super-3 number, since 3×22243342601333 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2224334260093 and 2224334260102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2224334260633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112167130066 + 1112167130067.

It is an arithmetic number, because the mean of its divisors is an integer number (1112167130067).

Almost surely, 22224334260133 is an apocalyptic number.

It is an amenable number.

2224334260133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224334260133 is an equidigital number, since it uses as much as digits as its factorization.

2224334260133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 2224334260133 its reverse (3310624334222), we get a palindrome (5534958594355).

The spelling of 2224334260133 in words is "two trillion, two hundred twenty-four billion, three hundred thirty-four million, two hundred sixty thousand, one hundred thirty-three".