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212634912 = 25372172659
BaseRepresentation
bin11001010110010…
…00110100100000
3112211002222021010
430223020310200
5413413304122
633033300520
75161236600
oct1453106440
9484088233
10212634912
11aa032836
125b264740
133508c299
1420350c00
1513a02e0c
hexcac8d20

212634912 has 144 divisors (see below), whose sum is σ = 687748320. Its totient is φ = 57157632.

The previous prime is 212634869. The next prime is 212634923. The reversal of 212634912 is 219436212.

It is a self number, because there is not a number n which added to its sum of digits gives 212634912.

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 23 ways as a sum of consecutive naturals, for example, 78639 + ... + 81297.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2212634912 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 212634912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874160).

212634912 is an abundant number, since it is smaller than the sum of its proper divisors (475113408).

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

212634912 is a wasteful number, since it uses less digits than its factorization.

212634912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2688 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 212634912 is about 14582.0064463022. The cubic root of 212634912 is about 596.8678556823.

The spelling of 212634912 in words is "two hundred twelve million, six hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2659 2856 3332 3808 4704 4998 5318 5712 6664 7977 9996 10636 11424 13328 15954 18613 19992 21272 26656 31908 37226 39984 42544 45203 55839 63816 74452 79968 85088 90406 111678 127632 130291 135609 148904 180812 223356 255264 260582 271218 297808 316421 361624 390873 446712 521164 542436 595616 632842 723248 781746 893424 949263 1042328 1084872 1265684 1446496 1563492 1786848 1898526 2084656 2169744 2214947 2531368 3126984 3797052 4169312 4339488 4429894 5062736 6253968 6644841 7594104 8859788 10125472 12507936 13289682 15188208 17719576 26579364 30376416 35439152 53158728 70878304 106317456 212634912