Search a number
-
+
9998200080 = 243251129101431
BaseRepresentation
bin10010100111111000…
…00110110100010000
3221210210101012002200
421103330012310100
5130434014400310
64332040043200
7502523204241
oct112374066420
927723335080
109998200080
1142707a5780
121b30463500
13c3450a12b
146abc14cc8
153d7b549c0
hex253f06d10

9998200080 has 480 divisors, whose sum is σ = 38356830720. Its totient is φ = 2311680000.

The previous prime is 9998200061. The next prime is 9998200087. The reversal of 9998200080 is 800028999.

It is a Cunningham number, because it is equal to 999912-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 9998199999 and 9998200035.

It is not an unprimeable number, because it can be changed into a prime (9998200087) 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, 23197465 + ... + 23197895.

It is an arithmetic number, because the mean of its divisors is an integer number (79910064).

Almost surely, 29998200080 is an apocalyptic number.

9998200080 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 9998200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178415360).

9998200080 is an abundant number, since it is smaller than the sum of its proper divisors (28358630640).

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

9998200080 is a wasteful number, since it uses less digits than its factorization.

9998200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9998200080 is about 99990.9999949995. Note that the first 5 decimals coincide. The cubic root of 9998200080 is about 2154.3054219396.

The spelling of 9998200080 in words is "nine billion, nine hundred ninety-eight million, two hundred thousand, eighty".