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12226554340 = 225711131932143
BaseRepresentation
bin10110110001100001…
…00110100111100100
31011120002102022110221
423120300212213210
5200014444214330
65341121254124
7611661666010
oct133060464744
934502368427
1012226554340
115204631270
122452794344
1311cb088650
1483db53540
154b85c2b7a
hex2d8c269e4

12226554340 has 192 divisors, whose sum is σ = 36289290240. Its totient is φ = 3332482560.

The previous prime is 12226554323. The next prime is 12226554391. The reversal of 12226554340 is 4345562221.

It is a junction number, because it is equal to n+sod(n) for n = 12226554296 and 12226554305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364309 + ... + 396451.

It is an arithmetic number, because the mean of its divisors is an integer number (189006720).

Almost surely, 212226554340 is an apocalyptic number.

12226554340 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 12226554340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144645120).

12226554340 is an abundant number, since it is smaller than the sum of its proper divisors (24062735900).

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

12226554340 is a wasteful number, since it uses less digits than its factorization.

12226554340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32202 (or 32200 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 122265 and 54340, that multiplied together give a square (6643880100 = 815102).

The spelling of 12226554340 in words is "twelve billion, two hundred twenty-six million, five hundred fifty-four thousand, three hundred forty".