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12226370000 = 24541394049
BaseRepresentation
bin10110110001011111…
…11001100111010000
31011120002001221121112
423120233321213100
5200014422320000
65341113312452
7611660300405
oct133057714720
934502057545
1012226370000
115204515819
122452705728
1311cb022780
1483db062ac
154b8588235
hex2d8bf99d0

12226370000 has 100 divisors (see below), whose sum is σ = 31878623700. Its totient is φ = 4514304000.

The previous prime is 12226369993. The next prime is 12226370017. The reversal of 12226370000 is 7362221.

It can be written as a sum of positive squares in 10 ways, for example, as 8391292816 + 3835077184 = 91604^2 + 61928^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 82976 + ... + 177024.

It is an arithmetic number, because the mean of its divisors is an integer number (318786237).

Almost surely, 212226370000 is an apocalyptic number.

12226370000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15939311850).

12226370000 is an abundant number, since it is smaller than the sum of its proper divisors (19652253700).

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

12226370000 is an equidigital number, since it uses as much as digits as its factorization.

12226370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94090 (or 94069 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The spelling of 12226370000 in words is "twelve billion, two hundred twenty-six million, three hundred seventy thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 94049 130000 188098 376196 470245 752392 940490 1222637 1504784 1880980 2351225 2445274 3761960 4702450 4890548 6113185 7523920 9404900 9781096 11756125 12226370 18809800 19562192 23512250 24452740 30565925 37619600 47024500 48905480 58780625 61131850 94049000 97810960 117561250 122263700 152829625 188098000 235122500 244527400 305659250 470245000 489054800 611318500 764148125 940490000 1222637000 1528296250 2445274000 3056592500 6113185000 12226370000