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212834223 = 357211593
BaseRepresentation
bin11001010111110…
…01011110101111
3112211111002200000
430223321132233
5413441143343
633041435343
75163026640
oct1453713657
9484432600
10212834223
11aa159558
125b33bb53
133512bc14
14203a36c7
1513a41ed3
hexcaf97af

212834223 has 48 divisors (see below), whose sum is σ = 366702336. Its totient is φ = 120839040.

The previous prime is 212834221. The next prime is 212834233. The reversal of 212834223 is 322438212.

It is not a de Polignac number, because 212834223 - 21 = 212834221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212834221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358615 + ... + 359207.

It is an arithmetic number, because the mean of its divisors is an integer number (7639632).

Almost surely, 2212834223 is an apocalyptic number.

212834223 is a deficient number, since it is larger than the sum of its proper divisors (153868113).

212834223 is an equidigital number, since it uses as much as digits as its factorization.

212834223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 212834223 is about 14588.8389873903. The cubic root of 212834223 is about 597.0542866217.

The spelling of 212834223 in words is "two hundred twelve million, eight hundred thirty-four thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 81 189 211 243 567 593 633 1477 1701 1779 1899 4151 4431 5337 5697 12453 13293 16011 17091 37359 39879 48033 51273 112077 119637 125123 144099 336231 358911 375369 875861 1008693 1126107 2627583 3378321 7882749 10134963 23648247 30404889 70944741 212834223