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9068225400 = 2335521331463
BaseRepresentation
bin10000111001000001…
…00010001101111000
3212101222110120200000
420130200202031320
5122032431203100
64055455313000
7440501433633
oct103440421570
925358416600
109068225400
11393385aa63
121910b1b760
13b1694a160
146204d4c1a
153811a6900
hex21c822378

9068225400 has 576 divisors, whose sum is σ = 35184414720. Its totient is φ = 2155507200.

The previous prime is 9068225363. The next prime is 9068225407. The reversal of 9068225400 is 45228609.

It is a happy number.

9068225400 is a `hidden beast` number, since 90 + 6 + 8 + 22 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9068225407) 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 143 ways as a sum of consecutive naturals, for example, 19585569 + ... + 19586031.

Almost surely, 29068225400 is an apocalyptic number.

9068225400 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 9068225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592207360).

9068225400 is an abundant number, since it is smaller than the sum of its proper divisors (26116189320).

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

9068225400 is a wasteful number, since it uses less digits than its factorization.

9068225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9068225400 is about 95227.2303493071. The cubic root of 9068225400 is about 2085.3266917313.

The spelling of 9068225400 in words is "nine billion, sixty-eight million, two hundred twenty-five thousand, four hundred".