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212024244344 = 231183971012963
BaseRepresentation
bin1100010101110110100…
…0010011100001111000
3202021021100000120211112
43011131220103201320
511433211201304334
6241222543215452
721214105224653
oct3053550234170
9667240016745
10212024244344
1181a12181a20
12351125a7588
1316cbc4c1c63
14a39501089a
1557addd34ce
hex315da13878

212024244344 has 128 divisors (see below), whose sum is σ = 447977537280. Its totient is φ = 93267456000.

The previous prime is 212024244337. The next prime is 212024244401. The reversal of 212024244344 is 443442420212.

It is a self number, because there is not a number n which added to its sum of digits gives 212024244344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71555807 + ... + 71558769.

It is an arithmetic number, because the mean of its divisors is an integer number (3499824510).

Almost surely, 2212024244344 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 212024244344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223988768640).

212024244344 is an abundant number, since it is smaller than the sum of its proper divisors (235953292936).

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

212024244344 is a wasteful number, since it uses less digits than its factorization.

212024244344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 212024244344 its reverse (443442420212), we get a palindrome (655466664556).

The spelling of 212024244344 in words is "two hundred twelve billion, twenty-four million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 83 88 97 101 166 194 202 332 388 404 664 776 808 913 1067 1111 1826 2134 2222 2963 3652 4268 4444 5926 7304 8051 8383 8536 8888 9797 11852 16102 16766 19594 23704 32204 32593 33532 39188 64408 65186 67064 78376 88561 92213 107767 130372 177122 184426 215534 245929 260744 287411 299263 354244 368852 431068 491858 574822 598526 708488 737704 813151 862136 983716 1149644 1197052 1626302 1967432 2299288 2394104 2705219 3161521 3252604 3291893 5410438 6323042 6505208 6583786 8944661 10820876 12646084 13167572 17889322 21641752 23855113 24838829 25292168 26335144 29028511 35778644 47710226 49677658 58057022 71557288 95420452 99355316 116114044 190840904 198710632 232228088 262406243 273227119 319313621 524812486 546454238 638627242 1049624972 1092908476 1277254484 2099249944 2185816952 2409366413 2554508968 4818732826 9637465652 19274931304 26503030543 53006061086 106012122172 212024244344