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212412512 = 2513677621
BaseRepresentation
bin11001010100100…
…10100001100000
3112210200200012002
430222102201200
5413334200022
633024423132
75156322314
oct1452224140
9483620162
10212412512
11a99a0734
125b177aa8
1335011ca0
14202d3b44
15139ac092
hexca92860

212412512 has 48 divisors (see below), whose sum is σ = 457137072. Its totient is φ = 96560640.

The previous prime is 212412511. The next prime is 212412517. The reversal of 212412512 is 215214212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24062 + ... + 31682.

It is an arithmetic number, because the mean of its divisors is an integer number (9523689).

Almost surely, 2212412512 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 212412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228568536).

212412512 is an abundant number, since it is smaller than the sum of its proper divisors (244724560).

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

212412512 is a wasteful number, since it uses less digits than its factorization.

212412512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7703 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 212412512 is about 14574.3786145413. The cubic root of 212412512 is about 596.6596902458.

Adding to 212412512 its reverse (215214212), we get a palindrome (427626724).

The spelling of 212412512 in words is "two hundred twelve million, four hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 871 1072 1742 2144 3484 6968 7621 13936 15242 27872 30484 60968 99073 121936 198146 243872 396292 510607 792584 1021214 1585168 2042428 3170336 4084856 6637891 8169712 13275782 16339424 26551564 53103128 106206256 212412512