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2002114229 is a prime number
BaseRepresentation
bin111011101010101…
…1101011010110101
312011112022221101212
41313111131122311
513100020123404
6530400131205
7100420455503
oct16725353265
95145287355
102002114229
11938161065
1247a606b05
1325ba3779b
1414dc89673
15bab7e06e
hex7755d6b5

2002114229 has 2 divisors, whose sum is σ = 2002114230. Its totient is φ = 2002114228.

The previous prime is 2002114217. The next prime is 2002114237. The reversal of 2002114229 is 9224112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1169503204 + 832611025 = 34198^2 + 28855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002114229 is a prime.

It is a super-2 number, since 2×20021142292 = 8016922771928528882, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002111229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001057114 + 1001057115.

It is an arithmetic number, because the mean of its divisors is an integer number (1001057115).

Almost surely, 22002114229 is an apocalyptic number.

It is an amenable number.

2002114229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002114229 is an equidigital number, since it uses as much as digits as its factorization.

2002114229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2002114229 is about 44744.9911051505. The cubic root of 2002114229 is about 1260.3648538180.

The spelling of 2002114229 in words is "two billion, two million, one hundred fourteen thousand, two hundred twenty-nine".