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12234244300 = 2252712935881
BaseRepresentation
bin10110110010011011…
…11100000011001100
31011120121220000010021
423121031330003030
5200023431304200
65341554151524
7612114234505
oct133115740314
934517800107
1012234244300
115208a03903
1224552825a4
1311cc84b915
14840b95bac
154b90e141a
hex2d937c0cc

12234244300 has 72 divisors (see below), whose sum is σ = 27018708192. Its totient is φ = 4807488000.

The previous prime is 12234244289. The next prime is 12234244301. The reversal of 12234244300 is 344243221.

It is a happy number.

12234244300 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 (25).

It is not an unprimeable number, because it can be changed into a prime (12234244301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077360 + ... + 2083240.

It is an arithmetic number, because the mean of its divisors is an integer number (375259836).

Almost surely, 212234244300 is an apocalyptic number.

12234244300 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 12234244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509354096).

12234244300 is an abundant number, since it is smaller than the sum of its proper divisors (14784463892).

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

12234244300 is a wasteful number, since it uses less digits than its factorization.

12234244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12234244300 its reverse (344243221), we get a palindrome (12578487521).

The spelling of 12234244300 in words is "twelve billion, two hundred thirty-four million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 293 355 586 710 1172 1420 1465 1775 2930 3550 5860 5881 7100 7325 11762 14650 20803 23524 29300 29405 41606 58810 83212 104015 117620 147025 208030 294050 416060 417551 520075 588100 835102 1040150 1670204 1723133 2080300 2087755 3446266 4175510 6892532 8351020 8615665 10438775 17231330 20877550 34462660 41755100 43078325 86156650 122342443 172313300 244684886 489369772 611712215 1223424430 2446848860 3058561075 6117122150 12234244300