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9423882240 = 21135378291
BaseRepresentation
bin10001100011011010…
…10000100000000000
3220022202200211010120
420301231100200000
5123300003212430
64155042300240
7452350451223
oct106155204000
926282624116
109423882240
113aa6599233
1219b0057680
13b725340a6
146558355ba
153a250b610
hex231b50800

9423882240 has 192 divisors, whose sum is σ = 30967634880. Its totient is φ = 2444820480.

The previous prime is 9423882233. The next prime is 9423882241. The reversal of 9423882240 is 422883249.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 9423882192 and 9423882201.

It is not an unprimeable number, because it can be changed into a prime (9423882241) 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, 1132495 + ... + 1140785.

It is an arithmetic number, because the mean of its divisors is an integer number (161289765).

Almost surely, 29423882240 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 9423882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483817440).

9423882240 is an abundant number, since it is smaller than the sum of its proper divisors (21543752640).

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

9423882240 is a wasteful number, since it uses less digits than its factorization.

9423882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 9423882240 is about 97076.6822671644. The cubic root of 9423882240 is about 2112.2401012615.

The spelling of 9423882240 in words is "nine billion, four hundred twenty-three million, eight hundred eighty-two thousand, two hundred forty".