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12223200384 = 273219613911
BaseRepresentation
bin10110110001000111…
…10011110010000000
31011112212002220201100
423120203303302000
5200013114403014
65340521334400
7611621326503
oct133043636200
934485086640
1012223200384
1152027503aa
122451637400
1311ca482b65
1483d51d13a
154b815e009
hex2d88f3c80

12223200384 has 192 divisors, whose sum is σ = 37125878400. Its totient is φ = 3849431040.

The previous prime is 12223200383. The next prime is 12223200391. The reversal of 12223200384 is 48300232221.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (12223200383) 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, 13416889 + ... + 13417799.

It is an arithmetic number, because the mean of its divisors is an integer number (193363950).

Almost surely, 212223200384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562939200).

12223200384 is an abundant number, since it is smaller than the sum of its proper divisors (24902678016).

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

12223200384 is a wasteful number, since it uses less digits than its factorization.

12223200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12223200384 in words is "twelve billion, two hundred twenty-three million, two hundred thousand, three hundred eighty-four".