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212118324 = 223112347421
BaseRepresentation
bin11001010010010…
…10101100110100
3112210010201122020
430221022230310
5413300241244
633014233140
75153655525
oct1451125464
9483121566
10212118324
11a980a700
125b0557b0
1334c3b102
142025884c
151394ed19
hexca4ab34

212118324 has 72 divisors (see below), whose sum is σ = 546891744. Its totient is φ = 63940800.

The previous prime is 212118323. The next prime is 212118329. The reversal of 212118324 is 423811212.

212118324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212118294 and 212118303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212118323) 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 23 ways as a sum of consecutive naturals, for example, 503634 + ... + 504054.

Almost surely, 2212118324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212118324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273445872).

212118324 is an abundant number, since it is smaller than the sum of its proper divisors (334773420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212118324 is a wasteful number, since it uses less digits than its factorization.

212118324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 212118324 is about 14564.2824746020. The cubic root of 212118324 is about 596.3841082078.

Adding to 212118324 its reverse (423811212), we get a palindrome (635929536).

The spelling of 212118324 in words is "two hundred twelve million, one hundred eighteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 347 363 421 484 694 726 842 1041 1263 1388 1452 1684 2082 2526 3817 4164 4631 5052 7634 9262 11451 13893 15268 18524 22902 27786 41987 45804 50941 55572 83974 101882 125961 146087 152823 167948 203764 251922 292174 305646 438261 503844 584348 611292 876522 1606957 1753044 3213914 4820871 6427828 9641742 17676527 19283484 35353054 53029581 70706108 106059162 212118324