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2252014334149 is a prime number
BaseRepresentation
bin100000110001010110100…
…000111011000011000101
321222021211202021111001211
4200301112200323003011
5243344111132143044
64442321110451421
7321463005000106
oct40612640730305
97867752244054
102252014334149
1179908a4220a8
12304557063b71
13134496a48b58
147add8a0c3ad
153d8a7a8b634
hex20c5683b0c5

2252014334149 has 2 divisors, whose sum is σ = 2252014334150. Its totient is φ = 2252014334148.

The previous prime is 2252014334113. The next prime is 2252014334177. The reversal of 2252014334149 is 9414334102522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2251971431649 + 42902500 = 1500657^2 + 6550^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252014334149 - 229 = 2251477463237 is a prime.

It is a super-2 number, since 2×22520143341492 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2252014334189) 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 as a sum of consecutive naturals, namely, 1126007167074 + 1126007167075.

It is an arithmetic number, because the mean of its divisors is an integer number (1126007167075).

Almost surely, 22252014334149 is an apocalyptic number.

It is an amenable number.

2252014334149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252014334149 is an equidigital number, since it uses as much as digits as its factorization.

2252014334149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2252014334149 in words is "two trillion, two hundred fifty-two billion, fourteen million, three hundred thirty-four thousand, one hundred forty-nine".