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9225509760 = 273252383839
BaseRepresentation
bin10001001011110001…
…00001101110000000
3212210221102110020200
420211320201232000
5122343212303020
64123234405200
7444421352625
oct104570415600
925727373220
109225509760
113a04618035
121955730800
13b403c981c
1463735834c
1538edc4590
hex225e21b80

9225509760 has 384 divisors, whose sum is σ = 33682521600. Its totient is φ = 2322051072.

The previous prime is 9225509723. The next prime is 9225509771. The reversal of 9225509760 is 679055229.

9225509760 is a `hidden beast` number, since 9 + 2 + 2 + 550 + 97 + 6 + 0 = 666.

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

It is a super-2 number, since 2×92255097602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 10995421 + ... + 10996259.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 29225509760 is an apocalyptic number.

9225509760 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 9225509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841260800).

9225509760 is an abundant number, since it is smaller than the sum of its proper divisors (24457011840).

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

9225509760 is a wasteful number, since it uses less digits than its factorization.

9225509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9225509760 is about 96049.5172293958. The cubic root of 9225509760 is about 2097.3140081405.

The spelling of 9225509760 in words is "nine billion, two hundred twenty-five million, five hundred nine thousand, seven hundred sixty".