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212122223200 = 25522411100219
BaseRepresentation
bin1100010110001101111…
…0000100001001100000
3202021112011101102120001
43011203132010021200
511433411242120300
6241240403225344
721216405101416
oct3054336041140
9667464342501
10212122223200
1181a62512988
123513b378254
13170068a8804
14a3a40372b6
1557b77d916a
hex3163784260

212122223200 has 72 divisors (see below), whose sum is σ = 519992577720. Its totient is φ = 84496742400.

The previous prime is 212122223147. The next prime is 212122223227. The reversal of 212122223200 is 2322221212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357310 + ... + 742909.

It is an arithmetic number, because the mean of its divisors is an integer number (7222119135).

Almost surely, 2212122223200 is an apocalyptic number.

212122223200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122223200 is an abundant number, since it is smaller than the sum of its proper divisors (307870354520).

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

212122223200 is a wasteful number, since it uses less digits than its factorization.

212122223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100480 (or 1100467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 212122223200 its reverse (2322221212), we get a palindrome (214444444412).

The spelling of 212122223200 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 241 400 482 800 964 1205 1928 2410 3856 4820 6025 7712 9640 12050 19280 24100 38560 48200 96400 192800 1100219 2200438 4400876 5501095 8801752 11002190 17603504 22004380 27505475 35207008 44008760 55010950 88017520 110021900 176035040 220043800 265152779 440087600 530305558 880175200 1060611116 1325763895 2121222232 2651527790 4242444464 5303055580 6628819475 8484888928 10606111160 13257638950 21212222320 26515277900 42424444640 53030555800 106061111600 212122223200