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210222009 = 3253440717
BaseRepresentation
bin11001000011110…
…11101110111001
3112122120101101100
430201323232321
5412304101014
632505442013
75131600104
oct1441735671
9478511340
10210222009
11a87349a8
125a4a0309
1334725c2a
141dcc373b
15136c8009
hexc87bbb9

210222009 has 12 divisors (see below), whose sum is σ = 309384036. Its totient is φ = 137503392.

The previous prime is 210222007. The next prime is 210222011. The reversal of 210222009 is 900222012.

210222009 = T2790 + T2791 + ... + T2842.

It is an interprime number because it is at equal distance from previous prime (210222007) and next prime (210222011).

It can be written as a sum of positive squares in 2 ways, for example, as 139712400 + 70509609 = 11820^2 + 8397^2 .

It is not a de Polignac number, because 210222009 - 21 = 210222007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210221982 and 210222000.

It is not an unprimeable number, because it can be changed into a prime (210222007) 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, 219882 + ... + 220835.

It is an arithmetic number, because the mean of its divisors is an integer number (25782003).

Almost surely, 2210222009 is an apocalyptic number.

It is an amenable number.

210222009 is a deficient number, since it is larger than the sum of its proper divisors (99162027).

210222009 is a wasteful number, since it uses less digits than its factorization.

210222009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440776 (or 440773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 210222009 is about 14499.0347609763. The cubic root of 210222009 is about 594.6015824858.

The spelling of 210222009 in words is "two hundred ten million, two hundred twenty-two thousand, nine".

Divisors: 1 3 9 53 159 477 440717 1322151 3966453 23358001 70074003 210222009