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230570706500 = 2253997462529
BaseRepresentation
bin1101011010111100010…
…1011100011001000100
3211001010212110111000022
43112233011130121010
512234202100102000
6253531150234312
722441520445131
oct3265705343104
9731125414008
10230570706500
118986a1754a2
12388297b5998
13189869c4614
14b234249588
155ee7231585
hex35af15c644

230570706500 has 48 divisors (see below), whose sum is σ = 504072594480. Its totient is φ = 92135577600.

The previous prime is 230570706497. The next prime is 230570706523. The reversal of 230570706500 is 5607075032.

230570706500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 66965018176 + 163605688324 = 258776^2 + 404482^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267236 + ... + 729764.

It is an arithmetic number, because the mean of its divisors is an integer number (10501512385).

Almost surely, 2230570706500 is an apocalyptic number.

230570706500 is a gapful number since it is divisible by the number (20) 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 230570706500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252036297240).

230570706500 is an abundant number, since it is smaller than the sum of its proper divisors (273501887980).

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

230570706500 is a wasteful number, since it uses less digits than its factorization.

230570706500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463545 (or 463533 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 230570706500 in words is "two hundred thirty billion, five hundred seventy million, seven hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 997 1994 3988 4985 9970 19940 24925 49850 99700 124625 249250 462529 498500 925058 1850116 2312645 4625290 9250580 11563225 23126450 46252900 57816125 115632250 231264500 461141413 922282826 1844565652 2305707065 4611414130 9222828260 11528535325 23057070650 46114141300 57642676625 115285353250 230570706500