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212489329 = 13137229521
BaseRepresentation
bin11001010101001…
…01010001110001
3112210211120120011
430222211101301
5413344124304
633030214521
75160062263
oct1452452161
9483746504
10212489329
11a9a43418
125b1b4441
133503ac40
1420313b33
15139c4c04
hexcaa5471

212489329 has 16 divisors (see below), whose sum is σ = 231955920. Its totient is φ = 193489920.

The previous prime is 212489323. The next prime is 212489339. The reversal of 212489329 is 923984212.

It can be written as a sum of positive squares in 8 ways, for example, as 400 + 212488929 = 20^2 + 14577^2 .

It is not a de Polignac number, because 212489329 - 27 = 212489201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212489291 and 212489300.

It is not an unprimeable number, because it can be changed into a prime (212489323) 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 15 ways as a sum of consecutive naturals, for example, 407589 + ... + 408109.

It is an arithmetic number, because the mean of its divisors is an integer number (14497245).

Almost surely, 2212489329 is an apocalyptic number.

It is an amenable number.

212489329 is a deficient number, since it is larger than the sum of its proper divisors (19466591).

212489329 is a wasteful number, since it uses less digits than its factorization.

212489329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900.

The product of its digits is 62208, while the sum is 40.

The square root of 212489329 is about 14577.0137202378. The cubic root of 212489329 is about 596.7316070442.

The spelling of 212489329 in words is "two hundred twelve million, four hundred eighty-nine thousand, three hundred twenty-nine".

Divisors: 1 13 137 229 521 1781 2977 6773 31373 71377 119309 407849 927901 1551017 16345333 212489329