Search a number
-
+
9355245120 = 2633513243149
BaseRepresentation
bin10001011011001110…
…11011011001000000
3220010222112200201000
420231213123121000
5123124420320440
64144151212000
7450555162054
oct105547333100
926128480630
109355245120
113a70879141
121991077000
13b61251a00
1464a689c64
1539b49e730
hex22d9db640

9355245120 has 672 divisors, whose sum is σ = 36813744000. Its totient is φ = 2234179584.

The previous prime is 9355245103. The next prime is 9355245121. The reversal of 9355245120 is 215425539.

It is a happy number.

9355245120 is a `hidden beast` number, since 9 + 3 + 5 + 524 + 5 + 120 = 666.

It is a super-2 number, since 2×93552451202 (a number of 21 digits) contains 22 as substring.

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 (9355245121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62786806 + ... + 62786954.

Almost surely, 29355245120 is an apocalyptic number.

9355245120 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 9355245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406872000).

9355245120 is an abundant number, since it is smaller than the sum of its proper divisors (27458498880).

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

9355245120 is a wasteful number, since it uses less digits than its factorization.

9355245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 9355245120 is about 96722.5160963051. The cubic root of 9355245120 is about 2107.0995629818.

The spelling of 9355245120 in words is "nine billion, three hundred fifty-five million, two hundred forty-five thousand, one hundred twenty".