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210000219 = 31121344501
BaseRepresentation
bin11001000010001…
…01100101011011
3112122011010010220
430201011211123
5412230001334
632501011123
75126654352
oct1441054533
9478133126
10210000219
11a85a3300
125a3b3aa3
1334678cb0
141dc66999
1513682449
hexc84595b

210000219 has 24 divisors (see below), whose sum is σ = 331450896. Its totient is φ = 117480000.

The previous prime is 210000199. The next prime is 210000239. The reversal of 210000219 is 912000012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210000199) and next prime (210000239).

It is not a de Polignac number, because 210000219 - 25 = 210000187 is a prime.

It is a super-2 number, since 2×2100002192 = 88200183960095922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210000198 and 210000207.

It is not an unprimeable number, because it can be changed into a prime (210000239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17532 + ... + 26969.

It is an arithmetic number, because the mean of its divisors is an integer number (13810454).

Almost surely, 2210000219 is an apocalyptic number.

210000219 is a deficient number, since it is larger than the sum of its proper divisors (121450677).

210000219 is a wasteful number, since it uses less digits than its factorization.

210000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44539 (or 44528 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 210000219 is about 14491.3843024053. The cubic root of 210000219 is about 594.3924018983.

The spelling of 210000219 in words is "two hundred ten million, two hundred nineteen", and thus it is an aban number.

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 44501 133503 489511 578513 1468533 1735539 5384621 6363643 16153863 19090929 70000073 210000219