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212213372644 = 227213194879001
BaseRepresentation
bin1100010110100011100…
…1110001011011100100
3202021202111220022002101
43011220321301123210
511434103110411034
6241253421021444
721221562622300
oct3055071613344
9667674808071
10212213372644
1181aa9a098a9
12351659b4884
131701c7409b0
14a3b21a2d00
1557c07e1514
hex3168e716e4

212213372644 has 144 divisors (see below), whose sum is σ = 490783278720. Its totient is φ = 79361856000.

The previous prime is 212213372621. The next prime is 212213372687. The reversal of 212213372644 is 446273312212.

212213372644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23572144 + ... + 23581144.

Almost surely, 2212213372644 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 212213372644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245391639360).

212213372644 is an abundant number, since it is smaller than the sum of its proper divisors (278569906076).

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

212213372644 is a wasteful number, since it uses less digits than its factorization.

212213372644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9529 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

Adding to 212213372644 its reverse (446273312212), we get a palindrome (658486684856).

The spelling of 212213372644 in words is "two hundred twelve billion, two hundred thirteen million, three hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 487 494 532 637 931 974 988 1274 1729 1862 1948 2548 3409 3458 3724 6331 6818 6916 9001 9253 12103 12662 13636 18002 18506 23863 24206 25324 36004 37012 44317 47726 48412 63007 64771 88634 95452 117013 120289 126014 129542 171019 177268 234026 240578 252028 259084 310219 342038 441049 453397 468052 481156 620438 684076 819091 842023 882098 906794 1197133 1240876 1638182 1684046 1764196 1813588 2223247 2394266 3276364 3368092 4383487 4446494 4788532 5733637 5894161 8379931 8766974 8892988 11467274 11788322 15562729 16759862 17533948 22934548 23576644 30684409 31125458 33519724 56985331 61368818 62250916 83286253 108939103 113970662 122737636 166572506 214790863 217878206 227941324 333145012 398897317 429581726 435756412 583003771 797794634 859163452 1082721289 1166007542 1595589268 2165442578 2332015084 2792281219 4081026397 4330885156 5584562438 7579049023 8162052794 11169124876 15158098046 16324105588 30316196092 53053343161 106106686322 212213372644