Search a number
-
+
9085230000 = 2433547111923
BaseRepresentation
bin10000111011000010…
…11001101110110000
3212110011110111121000
420131201121232300
5122101304330000
64101304002000
7441066116010
oct103541315660
925404414530
109085230000
113942414850
121916760300
13b1a322052
1462287dc40
15382915000
hex21d859bb0

9085230000 has 1600 divisors, whose sum is σ = 44625715200. Its totient is φ = 1710720000.

The previous prime is 9085229987. The next prime is 9085230029. The reversal of 9085230000 is 325809.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 395009989 + ... + 395010011.

It is an arithmetic number, because the mean of its divisors is an integer number (27891072).

Almost surely, 29085230000 is an apocalyptic number.

9085230000 is a gapful number since it is divisible by the number (90) 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 9085230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22312857600).

9085230000 is an abundant number, since it is smaller than the sum of its proper divisors (35540485200).

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

9085230000 is a wasteful number, since it uses less digits than its factorization.

9085230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9085230000 is about 95316.4728680200. The cubic root of 9085230000 is about 2086.6293355961.

Adding to 9085230000 its reverse (325809), we get a palindrome (9085555809).

The spelling of 9085230000 in words is "nine billion, eighty-five million, two hundred thirty thousand".