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212043312 = 243313172221
BaseRepresentation
bin11001010001110…
…00011000110000
3112202222220202000
430220320120300
5413240341222
633012454000
75153224035
oct1450703060
9482886660
10212043312
11a9769308
125b01a300
1334c12c20
142023938c
15139379ac
hexca38630

212043312 has 160 divisors (see below), whose sum is σ = 694330560. Its totient is φ = 61378560.

The previous prime is 212043311. The next prime is 212043313. The reversal of 212043312 is 213340212.

It is an interprime number because it is at equal distance from previous prime (212043311) and next prime (212043313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212043311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94362 + ... + 96582.

It is an arithmetic number, because the mean of its divisors is an integer number (4339566).

Almost surely, 2212043312 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 212043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347165280).

212043312 is an abundant number, since it is smaller than the sum of its proper divisors (482287248).

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

212043312 is a wasteful number, since it uses less digits than its factorization.

212043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212043312 is about 14561.7070427886. The cubic root of 212043312 is about 596.3137995890.

Adding to 212043312 its reverse (213340212), we get a palindrome (425383524).

The spelling of 212043312 in words is "two hundred twelve million, forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 408 432 442 459 468 612 624 663 702 816 884 918 936 1224 1326 1404 1768 1836 1872 1989 2221 2448 2652 2808 3536 3672 3978 4442 5304 5616 5967 6663 7344 7956 8884 10608 11934 13326 15912 17768 19989 23868 26652 28873 31824 35536 37757 39978 47736 53304 57746 59967 75514 79956 86619 95472 106608 113271 115492 119934 151028 159912 173238 226542 230984 239868 259857 302056 319824 339813 346476 453084 461968 479736 490841 519714 604112 679626 692952 779571 906168 959472 981682 1019439 1039428 1359252 1385904 1472523 1559142 1812336 1963364 2038878 2078856 2718504 2945046 3118284 3926728 4077756 4157712 4417569 5437008 5890092 6236568 7853456 8155512 8835138 11780184 12473136 13252707 16311024 17670276 23560368 26505414 35340552 53010828 70681104 106021656 212043312