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9234992256 = 273719231307
BaseRepresentation
bin10001001100111001…
…01100110010000000
3212211121021012210020
420212130230302000
5122403124223011
64124213533440
7444565065450
oct104634546200
925747235706
109234992256
113a09a04406
121958944280
13b42369979
14638705d60
15390b49006
hex22672cc80

9234992256 has 384 divisors, whose sum is σ = 30641909760. Its totient is φ = 2411182080.

The previous prime is 9234992251. The next prime is 9234992281. The reversal of 9234992256 is 6522994329.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 9234992199 and 9234992208.

It is not an unprimeable number, because it can be changed into a prime (9234992251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30081255 + ... + 30081561.

It is an arithmetic number, because the mean of its divisors is an integer number (79796640).

Almost surely, 29234992256 is an apocalyptic number.

9234992256 is a gapful number since it is divisible by the number (96) 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 9234992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320954880).

9234992256 is an abundant number, since it is smaller than the sum of its proper divisors (21406917504).

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

9234992256 is a wasteful number, since it uses less digits than its factorization.

9234992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 9234992256 is about 96098.8670900963. The cubic root of 9234992256 is about 2098.0323410448.

The spelling of 9234992256 in words is "nine billion, two hundred thirty-four million, nine hundred ninety-two thousand, two hundred fifty-six".