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212372329 = 132192592
BaseRepresentation
bin11001010100010…
…00101101101001
3112210121122001211
430222020231221
5413331403304
633023513121
75156064211
oct1452105551
9483548054
10212372329
11a9973524
125b1587a1
1334cc9900
14202c3241
15139a0204
hexca88b69

212372329 has 27 divisors (see below), whose sum is σ = 246889143. Its totient is φ = 182570544.

The previous prime is 212372323. The next prime is 212372339. The reversal of 212372329 is 923273212.

The square root of 212372329 is 14573.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31416025 + 180956304 = 5605^2 + 13452^2 .

It is not a de Polignac number, because 212372329 - 25 = 212372297 is a prime.

It is a super-2 number, since 2×2123723292 = 90204012249768482, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212372329.

It is not an unprimeable number, because it can be changed into a prime (212372323) 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 26 ways as a sum of consecutive naturals, for example, 3599502 + ... + 3599560.

Almost surely, 2212372329 is an apocalyptic number.

212372329 is the 14573-rd square number.

212372329 is the 7287-th centered octagonal number.

It is an amenable number.

212372329 is a deficient number, since it is larger than the sum of its proper divisors (34516814).

212372329 is an equidigital number, since it uses as much as digits as its factorization.

212372329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The cubic root of 212372329 is about 596.6220636356.

The spelling of 212372329 in words is "two hundred twelve million, three hundred seventy-two thousand, three hundred twenty-nine".

Divisors: 1 13 19 59 169 247 361 767 1121 3211 3481 4693 9971 14573 21299 45253 61009 66139 189449 276887 588289 859807 1256641 3599531 11177491 16336333 212372329