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212543424 = 26321919421
BaseRepresentation
bin11001010101100…
…10011111000000
3112210221022202200
430222302133000
5413402342144
633031313200
75160406062
oct1452623700
9483838680
10212543424
11a9a80025
125b21b800
1335059752
1420329732
15139d5c69
hexcab27c0

212543424 has 84 divisors (see below), whose sum is σ = 641314440. Its totient is φ = 67115520.

The previous prime is 212543411. The next prime is 212543431. The reversal of 212543424 is 424345212.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1234 + ... + 20654.

Almost surely, 2212543424 is an apocalyptic number.

212543424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320657220).

212543424 is an abundant number, since it is smaller than the sum of its proper divisors (428771016).

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

212543424 is a wasteful number, since it uses less digits than its factorization.

212543424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458 (or 19445 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 212543424 is about 14578.8690919426. The cubic root of 212543424 is about 596.7822408926.

Adding to 212543424 its reverse (424345212), we get a palindrome (636888636).

The spelling of 212543424 in words is "two hundred twelve million, five hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 19421 38842 58263 77684 116526 155368 174789 233052 310736 349578 368999 466104 621472 699156 737998 932208 1106997 1242944 1398312 1475996 1864416 2213994 2796624 2951992 3320991 3728832 4427988 5593248 5903984 6641982 8855976 11186496 11807968 13283964 17711952 23615936 26567928 35423904 53135856 70847808 106271712 212543424