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10222000212200 = 2352729207249989
BaseRepresentation
bin1001010010111111111010…
…1100010000100011101000
31100012012202202210111212212
42110233332230100203220
52314434124023242300
633423531100024252
72103341460122540
oct224577654204350
940165682714785
1010222000212200
1132911426a6277
121191113232088
13591c1337212a
14274a67008320
1512ad6ea38935
hex94bfeb108e8

10222000212200 has 96 divisors (see below), whose sum is σ = 27162353462400. Its totient is φ = 3504551773440.

The previous prime is 10222000212187. The next prime is 10222000212269. The reversal of 10222000212200 is 221200022201.

10222000212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40764806 + ... + 41014794.

It is an arithmetic number, because the mean of its divisors is an integer number (282941181900).

Almost surely, 210222000212200 is an apocalyptic number.

10222000212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222000212200 is an abundant number, since it is smaller than the sum of its proper divisors (16940353250200).

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

10222000212200 is a wasteful number, since it uses less digits than its factorization.

10222000212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279219 (or 279210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10222000212200 its reverse (221200022201), we get a palindrome (10443200234401).

The spelling of 10222000212200 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 29207 58414 116828 146035 204449 233656 249989 292070 408898 499978 584140 730175 817796 999956 1022245 1168280 1249945 1460350 1635592 1749923 1999912 2044490 2499890 2920700 3499846 4088980 4999780 5111225 5841400 6249725 6999692 8177960 8749615 9999560 10222450 12499450 13999384 17499230 20444900 24998900 34998460 40889800 43748075 49997800 69996920 87496150 174992300 349984600 7301428723 14602857446 29205714892 36507143615 51110001061 58411429784 73014287230 102220002122 146028574460 182535718075 204440004244 255550005305 292057148920 365071436150 408880008488 511100010610 730142872300 1022200021220 1277750026525 1460285744600 2044400042440 2555500053050 5111000106100 10222000212200