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9883225440 = 25325111932839
BaseRepresentation
bin10010011010001011…
…00000110101100000
3221111210000212112200
421031011200311200
5130220101203230
64312411453200
7466626013224
oct111505406540
927453025480
109883225440
114211906610
121ab9a57200
13c167526ba
1469a846784
153cc9e3160
hex24d160d60

9883225440 has 288 divisors, whose sum is σ = 38730182400. Its totient is φ = 2269762560.

The previous prime is 9883225427. The next prime is 9883225447. The reversal of 9883225440 is 445223889.

9883225440 is a `hidden beast` number, since 9 + 8 + 83 + 22 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9883225447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284541 + ... + 317379.

It is an arithmetic number, because the mean of its divisors is an integer number (134479800).

Almost surely, 29883225440 is an apocalyptic number.

9883225440 is a gapful number since it is divisible by the number (90) 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 9883225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365091200).

9883225440 is an abundant number, since it is smaller than the sum of its proper divisors (28846956960).

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

9883225440 is a wasteful number, since it uses less digits than its factorization.

9883225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32890 (or 32879 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 9883225440 is about 99414.4126372027. The cubic root of 9883225440 is about 2146.0157283747.

The spelling of 9883225440 in words is "nine billion, eight hundred eighty-three million, two hundred twenty-five thousand, four hundred forty".