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12228173568 = 283213537703
BaseRepresentation
bin10110110001101101…
…10001111100000000
31011120012110120122100
423120312301330000
5200020403023233
65341220110400
7612011521542
oct133066617400
934505416570
1012228173568
115205537876
122453235400
1311cb504680
14840055692
154b87e2813
hex2d8db1f00

12228173568 has 216 divisors, whose sum is σ = 38690320032. Its totient is φ = 3691044864.

The previous prime is 12228173563. The next prime is 12228173569. The reversal of 12228173568 is 86537182221.

12228173568 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 81 + 7 + 3 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228173563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1583605 + ... + 1591307.

It is an arithmetic number, because the mean of its divisors is an integer number (179121852).

Almost surely, 212228173568 is an apocalyptic number.

12228173568 is a gapful number since it is divisible by the number (18) 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 12228173568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345160016).

12228173568 is an abundant number, since it is smaller than the sum of its proper divisors (26462146464).

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

12228173568 is a wasteful number, since it uses less digits than its factorization.

12228173568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7774 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12228173568 in words is "twelve billion, two hundred twenty-eight million, one hundred seventy-three thousand, five hundred sixty-eight".