Search a number
-
+
9226834848 = 2533721119813
BaseRepresentation
bin10001001011111011…
…00101001110100000
3212211000220202221000
420211331211032200
5122344032203343
64123323032000
7444435542100
oct104575451640
925730822830
109226834848
113a05342650
12195606b600
13b407719ba
146375c1200
15390086ed3
hex225f653a0

9226834848 has 288 divisors, whose sum is σ = 34152995520. Its totient is φ = 2396459520.

The previous prime is 9226834741. The next prime is 9226834879. The reversal of 9226834848 is 8484386229.

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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9226834794 and 9226834803.

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, 455790 + ... + 475602.

It is an arithmetic number, because the mean of its divisors is an integer number (118586790).

Almost surely, 29226834848 is an apocalyptic number.

9226834848 is a gapful number since it is divisible by the number (98) 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 9226834848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076497760).

9226834848 is an abundant number, since it is smaller than the sum of its proper divisors (24926160672).

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

9226834848 is a wasteful number, since it uses less digits than its factorization.

9226834848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19857 (or 19836 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 9226834848 is about 96056.4149237311. The cubic root of 9226834848 is about 2097.4144178613.

The spelling of 9226834848 in words is "nine billion, two hundred twenty-six million, eight hundred thirty-four thousand, eight hundred forty-eight".