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2212352256 = 28317239709
BaseRepresentation
bin1000001111011101…
…1101000100000000
312201011221010202110
42003313131010000
514012330233011
61003310215320
7105552453402
oct20367350400
95634833673
102212352256
11a358a6aa4
12518ab4540
13293467a9a
1416db74b72
15ce35bba6
hex83ddd100

2212352256 has 144 divisors (see below), whose sum is σ = 6269356800. Its totient is φ = 690192384.

The previous prime is 2212352201. The next prime is 2212352269. The reversal of 2212352256 is 6522532122.

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 15 ways as a sum of consecutive naturals, for example, 3120030 + ... + 3120738.

It is an arithmetic number, because the mean of its divisors is an integer number (43537200).

Almost surely, 22212352256 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 2212352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134678400).

2212352256 is an abundant number, since it is smaller than the sum of its proper divisors (4057004544).

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

2212352256 is a wasteful number, since it uses less digits than its factorization.

2212352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2212352256 is about 47035.6487783468. The cubic root of 2212352256 is about 1303.0210324543.

Adding to 2212352256 its reverse (6522532122), we get a palindrome (8734884378).

The spelling of 2212352256 in words is "two billion, two hundred twelve million, three hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 239 256 272 384 408 478 544 709 717 768 816 956 1088 1418 1434 1632 1912 2127 2176 2836 2868 3264 3824 4063 4254 4352 5672 5736 6528 7648 8126 8508 11344 11472 12053 12189 13056 15296 16252 17016 22688 22944 24106 24378 30592 32504 34032 36159 45376 45888 48212 48756 61184 65008 68064 72318 90752 91776 96424 97512 130016 136128 144636 169451 181504 183552 192848 195024 260032 272256 289272 338902 385696 390048 508353 520064 544512 578544 677804 771392 780096 1016706 1040128 1157088 1355608 1542784 1560192 2033412 2314176 2711216 2880667 3085568 3120384 4066824 4628352 5422432 5761334 8133648 8642001 9256704 10844864 11522668 16267296 17284002 21689728 23045336 32534592 34568004 43379456 46090672 65069184 69136008 92181344 130138368 138272016 184362688 276544032 368725376 553088064 737450752 1106176128 2212352256