Search a number
-
+
9238855680 = 2143354177
BaseRepresentation
bin10001001101010110…
…11100000000000000
3212211212112111102000
420212223130000000
5122410121340210
64124432424000
7444642656205
oct104653340000
925755474360
109238855680
113a1110301a
12195a0a8000
13b430c0312
1463902dcac
1539115dac0
hex226adc000

9238855680 has 240 divisors, whose sum is σ = 32856126240. Its totient is φ = 2463105024.

The previous prime is 9238855679. The next prime is 9238855729. The reversal of 9238855680 is 865588329.

9238855680 is a `hidden beast` number, since 9 + 2 + 3 + 8 + 8 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2209752 + ... + 2213928.

It is an arithmetic number, because the mean of its divisors is an integer number (136900526).

Almost surely, 29238855680 is an apocalyptic number.

9238855680 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 9238855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428063120).

9238855680 is an abundant number, since it is smaller than the sum of its proper divisors (23617270560).

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

9238855680 is an equidigital number, since it uses as much as digits as its factorization.

9238855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 9238855680 is about 96118.9662865763. The cubic root of 9238855680 is about 2098.3248682148.

The spelling of 9238855680 in words is "nine billion, two hundred thirty-eight million, eight hundred fifty-five thousand, six hundred eighty".