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212412224 = 2610930449
BaseRepresentation
bin11001010100100…
…10011101000000
3112210200122210102
430222102131000
5413334142344
633024421532
75156321423
oct1452223500
9483618712
10212412224
11a99a04a2
125b1778a8
1335011b0b
14202d39ba
15139abe4e
hexca92740

212412224 has 28 divisors (see below), whose sum is σ = 425386500. Its totient is φ = 105228288.

The previous prime is 212412203. The next prime is 212412241. The reversal of 212412224 is 422214212.

It can be written as a sum of positive squares in 2 ways, for example, as 81721600 + 130690624 = 9040^2 + 11432^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212412196 and 212412205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8249 + ... + 22200.

It is an arithmetic number, because the mean of its divisors is an integer number (15192375).

Almost surely, 2212412224 is an apocalyptic number.

It is an amenable number.

212412224 is an abundant number, since it is smaller than the sum of its proper divisors (212974276).

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

212412224 is a wasteful number, since it uses less digits than its factorization.

212412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30570 (or 30560 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 212412224 is about 14574.3687341854. The cubic root of 212412224 is about 596.6594205848.

Adding to 212412224 its reverse (422214212), we get a palindrome (634626436).

The spelling of 212412224 in words is "two hundred twelve million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 30449 60898 121796 243592 487184 974368 1948736 3318941 6637882 13275764 26551528 53103056 106206112 212412224