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9034227960 = 23352383113349
BaseRepresentation
bin10000110100111101…
…10110000011111000
3212022121111022221120
420122132312003320
5122000230243320
64052242505240
7436606446012
oct103236660370
925277438846
109034227960
11391664a1aa
121901665220
13b0c8a5824
14619ba51b2
1537d1dd440
hex21a7b60f8

9034227960 has 256 divisors, whose sum is σ = 28957824000. Its totient is φ = 2250006528.

The previous prime is 9034227949. The next prime is 9034227971. The reversal of 9034227960 is 697224309.

It is a happy number.

9034227960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9034227949) and next prime (9034227971).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25885866 + ... + 25886214.

It is an arithmetic number, because the mean of its divisors is an integer number (113116500).

Almost surely, 29034227960 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 9034227960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912000).

9034227960 is an abundant number, since it is smaller than the sum of its proper divisors (19923596040).

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

9034227960 is a wasteful number, since it uses less digits than its factorization.

9034227960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 9034227960 is about 95048.5558017585. Note that the first 3 decimals coincide. The cubic root of 9034227960 is about 2082.7174141437.

The spelling of 9034227960 in words is "nine billion, thirty-four million, two hundred twenty-seven thousand, nine hundred sixty".