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BaseRepresentation
bin10001001110101011…
…11100110010000000
3212212122111200112121
420213111330302000
5122421000000000
64125511334024
7445136463013
oct104725746200
925778450477
109250000000
113a174249aa
121961981314
13b454c29a7
1463a6d137a
15392110b1a
hex22757cc80

9250000000 has 160 divisors (see below), whose sum is σ = 23657224140. Its totient is φ = 3600000000.

The previous prime is 9249999971. The next prime is 9250000003. The reversal of 9250000000 is 529.

Adding to 9250000000 its reverse (529), we get a palindrome (9250000529).

It can be written as a sum of positive squares in 10 ways, for example, as 7773596224 + 1476403776 = 88168^2 + 38424^2 .

It is a sliding number, since 9250000000 = 1250000000 + 8000000000 and 1/1250000000 + 1/8000000000 = 0.0000000009250000000.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (9250000003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249999982 + ... + 250000018.

Almost surely, 29250000000 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 9250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828612070).

9250000000 is an abundant number, since it is smaller than the sum of its proper divisors (14407224140).

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

9250000000 is an frugal number, since it uses more digits than its factorization.

9250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 9250000000 is about 96176.9203083567. The cubic root of 9250000000 is about 2099.1682269042.

The spelling of 9250000000 in words is "nine billion, two hundred fifty million", and thus it is an aban number.