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12203244256 = 257891135417
BaseRepresentation
bin10110101110101111…
…01011101011100000
31011111110120001001111
423113113223223200
5144443012304011
65334525513104
7611256602410
oct132727535340
934443501044
1012203244256
1151a2460035
122446a12794
1311c62b66b8
1483aa06640
154b651b121
hex2d75ebae0

12203244256 has 96 divisors (see below), whose sum is σ = 28016694720. Its totient is φ = 5124489216.

The previous prime is 12203244233. The next prime is 12203244257. The reversal of 12203244256 is 65244230221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203244257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250060 + ... + 2255476.

It is an arithmetic number, because the mean of its divisors is an integer number (291840570).

Almost surely, 212203244256 is an apocalyptic number.

12203244256 is a gapful number since it is divisible by the number (16) 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 12203244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008347360).

12203244256 is an abundant number, since it is smaller than the sum of its proper divisors (15813450464).

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

12203244256 is a wasteful number, since it uses less digits than its factorization.

12203244256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 12203244256 its reverse (65244230221), we get a palindrome (77447474477).

The spelling of 12203244256 in words is "twelve billion, two hundred three million, two hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 113 178 224 226 356 452 623 712 791 904 1246 1424 1582 1808 2492 2848 3164 3616 4984 5417 6328 9968 10057 10834 12656 19936 20114 21668 25312 37919 40228 43336 70399 75838 80456 86672 140798 151676 160912 173344 281596 303352 321824 482113 563192 606704 612121 964226 1126384 1213408 1224242 1928452 2252768 2448484 3374791 3856904 4284847 4896968 6749582 7713808 8569694 9793936 13499164 15427616 17139388 19587872 26998328 34278776 53996656 54478769 68557552 107993312 108957538 137115104 217915076 381351383 435830152 762702766 871660304 1525405532 1743320608 3050811064 6101622128 12203244256