Search a number
-
+
9832030208 = 213711213109
BaseRepresentation
bin10010010100000100…
…01110000000000000
3221101012200212212222
421022002032000000
5130113444431313
64303342310212
7465434610050
oct111202160000
927335625788
109832030208
114195a19900
121aa4888368
13c08c69270
14693b1b560
153c827e208
hex24a08e000

9832030208 has 336 divisors, whose sum is σ = 26844528480. Its totient is φ = 3503554560.

The previous prime is 9832030193. The next prime is 9832030249. The reversal of 9832030208 is 8020302389.

It is a super-2 number, since 2×98320302082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90202058 + ... + 90202166.

It is an arithmetic number, because the mean of its divisors is an integer number (79894430).

Almost surely, 29832030208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9832030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422264240).

9832030208 is an abundant number, since it is smaller than the sum of its proper divisors (17012498272).

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

9832030208 is a wasteful number, since it uses less digits than its factorization.

9832030208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 9832030208 is about 99156.5943747565. The cubic root of 9832030208 is about 2142.3038489685.

The spelling of 9832030208 in words is "nine billion, eight hundred thirty-two million, thirty thousand, two hundred eight".