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212668209 = 32131817677
BaseRepresentation
bin11001010110100…
…00111100110001
3112211011122221100
430223100330301
5413420340314
633034115013
75161435635
oct1453207461
9484148840
10212668209
11aa055856
125b27ba69
13350a14a0
142035cdc5
1513a0cc09
hexcad0f31

212668209 has 12 divisors (see below), whose sum is σ = 330817396. Its totient is φ = 130872672.

The previous prime is 212668201. The next prime is 212668213. The reversal of 212668209 is 902866212.

It is a happy number.

212668209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 184280625 = 5328^2 + 13575^2 .

It is not a de Polignac number, because 212668209 - 23 = 212668201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212668201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 908722 + ... + 908955.

Almost surely, 2212668209 is an apocalyptic number.

It is an amenable number.

212668209 is a deficient number, since it is larger than the sum of its proper divisors (118149187).

212668209 is a wasteful number, since it uses less digits than its factorization.

212668209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817696 (or 1817693 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 212668209 is about 14583.1481169191. The cubic root of 212668209 is about 596.8990090358.

The spelling of 212668209 in words is "two hundred twelve million, six hundred sixty-eight thousand, two hundred nine".

Divisors: 1 3 9 13 39 117 1817677 5453031 16359093 23629801 70889403 212668209