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2240000129 is a prime number
BaseRepresentation
bin1000010110000011…
…1011000010000001
312210002221210111202
42011200323002001
514041420001004
61010134550545
7106336454423
oct20540730201
95702853452
102240000129
11a4a470284
12526208455
132990c8283
141736d0813
15d19bdb1e
hex8583b081

2240000129 has 2 divisors, whose sum is σ = 2240000130. Its totient is φ = 2240000128.

The previous prime is 2240000101. The next prime is 2240000137. The reversal of 2240000129 is 9210000422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2056803904 + 183196225 = 45352^2 + 13535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240000129 - 220 = 2238951553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2240000129.

It is not a weakly prime, because it can be changed into another prime (2240000159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120000064 + 1120000065.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000065).

Almost surely, 22240000129 is an apocalyptic number.

It is an amenable number.

2240000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240000129 is an equidigital number, since it uses as much as digits as its factorization.

2240000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2240000129 is about 47328.6396276081. The cubic root of 2240000129 is about 1308.4265491926.

The spelling of 2240000129 in words is "two billion, two hundred forty million, one hundred twenty-nine", and thus it is an aban number.