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218000069 = 729294789
BaseRepresentation
bin11001111111001…
…10101011000101
3120012012112212122
430333212223011
5421302000234
633344255325
75254653500
oct1477465305
9505175778
10218000069
11102067751
1261011545
133621a331
1420d4a137
151421292e
hexcfe6ac5

218000069 has 12 divisors (see below), whose sum is σ = 253917900. Its totient is φ = 186617088.

The previous prime is 218000051. The next prime is 218000087. The reversal of 218000069 is 960000812.

It is an interprime number because it is at equal distance from previous prime (218000051) and next prime (218000087).

It can be written as a sum of positive squares in 2 ways, for example, as 8850625 + 209149444 = 2975^2 + 14462^2 .

It is not a de Polignac number, because 218000069 - 28 = 217999813 is a prime.

It is a super-2 number, since 2×2180000692 = 95048060168009522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218000009) 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 in 11 ways as a sum of consecutive naturals, for example, 43127 + ... + 47915.

It is an arithmetic number, because the mean of its divisors is an integer number (21159825).

Almost surely, 2218000069 is an apocalyptic number.

It is an amenable number.

218000069 is a deficient number, since it is larger than the sum of its proper divisors (35917831).

218000069 is an equidigital number, since it uses as much as digits as its factorization.

218000069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 218000069 is about 14764.8253968681. The cubic root of 218000069 is about 601.8462289782.

The spelling of 218000069 in words is "two hundred eighteen million, sixty-nine", and thus it is an aban number.

Divisors: 1 7 49 929 4789 6503 33523 45521 234661 4448981 31142867 218000069