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9023248000 = 27531324771
BaseRepresentation
bin10000110011101001…
…11101011010000000
3212021211211111021101
420121310331122000
5121434422414000
64051211304144
7436414225324
oct103164753200
925254744241
109023248000
11391042a858
1218b9a4b054
13b0a52cc00
14618547984
1537c26ee6a
hex219d3d680

9023248000 has 384 divisors, whose sum is σ = 25158781440. Its totient is φ = 3214848000.

The previous prime is 9023247997. The next prime is 9023248033. The reversal of 9023248000 is 8423209.

It is a self number, because there is not a number n which added to its sum of digits gives 9023248000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127087965 + ... + 127088035.

It is an arithmetic number, because the mean of its divisors is an integer number (65517660).

Almost surely, 29023248000 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 9023248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579390720).

9023248000 is an abundant number, since it is smaller than the sum of its proper divisors (16135533440).

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

9023248000 is a wasteful number, since it uses less digits than its factorization.

9023248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 9023248000 is about 94990.7784998102. The cubic root of 9023248000 is about 2081.8733123305.

The spelling of 9023248000 in words is "nine billion, twenty-three million, two hundred forty-eight thousand".