Search a number
-
+
230514538716 = 22337111737127347
BaseRepresentation
bin1101011010101110111…
…1001011100011011100
3211000222221202212022000
43112223233023203130
512234043210214331
6253521422322300
722440236151510
oct3265357134334
9730887685260
10230514538716
11898404a1840
1238812a29390
1318978189a47
14b22a9c8140
155ee23390e6
hex35abbcb8dc

230514538716 has 768 divisors, whose sum is σ = 818982420480. Its totient is φ = 54240399360.

The previous prime is 230514538649. The next prime is 230514538721. The reversal of 230514538716 is 617835415032.

It is a happy number.

230514538716 is a `hidden beast` number, since 2 + 3 + 0 + 514 + 53 + 87 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 664306855 + ... + 664307201.

It is an arithmetic number, because the mean of its divisors is an integer number (1066383360).

Almost surely, 2230514538716 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 230514538716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409491210240).

230514538716 is an abundant number, since it is smaller than the sum of its proper divisors (588467881764).

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

230514538716 is a wasteful number, since it uses less digits than its factorization.

230514538716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 230514538716 in words is "two hundred thirty billion, five hundred fourteen million, five hundred thirty-eight thousand, seven hundred sixteen".