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218342801 is a prime number
BaseRepresentation
bin11010000001110…
…10010110010001
3120012211222000102
431000322112101
5421343432201
633355502145
75260611635
oct1500722621
9505758012
10218342801
111022811a6
1261157955
133630a331
1420dd8dc5
151427e26b
hexd03a591

218342801 has 2 divisors, whose sum is σ = 218342802. Its totient is φ = 218342800.

The previous prime is 218342771. The next prime is 218342833. The reversal of 218342801 is 108243812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129982801 + 88360000 = 11401^2 + 9400^2 .

It is a cyclic number.

It is not a de Polignac number, because 218342801 - 214 = 218326417 is a prime.

It is not a weakly prime, because it can be changed into another prime (218342701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109171400 + 109171401.

It is an arithmetic number, because the mean of its divisors is an integer number (109171401).

Almost surely, 2218342801 is an apocalyptic number.

It is an amenable number.

218342801 is a deficient number, since it is larger than the sum of its proper divisors (1).

218342801 is an equidigital number, since it uses as much as digits as its factorization.

218342801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 218342801 is about 14776.4272068724. The cubic root of 218342801 is about 602.1614642885.

The spelling of 218342801 in words is "two hundred eighteen million, three hundred forty-two thousand, eight hundred one".