Search a number
-
+
9256220928 = 283217292281
BaseRepresentation
bin10001001111011011…
…01011100100000000
3212220002012202001100
420213231223210000
5122424043032203
64130252534400
7445243402563
oct104755534400
925802182040
109256220928
113a1a993869
121963a81400
13b46890406
1463b4704da
1539293dea3
hex227b6b900

9256220928 has 324 divisors, whose sum is σ = 29370005028. Its totient is φ = 2793799680.

The previous prime is 9256220903. The next prime is 9256220929. The reversal of 9256220928 is 8290226529.

It can be written as a sum of positive squares in 6 ways, for example, as 620607744 + 8635613184 = 24912^2 + 92928^2 .

It is not an unprimeable number, because it can be changed into a prime (9256220929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32940148 + ... + 32940428.

Almost surely, 29256220928 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 9256220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685002514).

9256220928 is an abundant number, since it is smaller than the sum of its proper divisors (20113784100).

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

9256220928 is a wasteful number, since it uses less digits than its factorization.

9256220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9256220928 is about 96209.2559372538. The cubic root of 9256220928 is about 2099.6387079135.

The spelling of 9256220928 in words is "nine billion, two hundred fifty-six million, two hundred twenty thousand, nine hundred twenty-eight".