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230494491792 = 24321997380141
BaseRepresentation
bin1101011010101010001…
…0101101010010010000
3211000221120001101002100
43112222202231102100
512234023042214132
6253515424520400
722436603565615
oct3265242552220
9730846041070
10230494491792
118983014a234
1238808180100
1318973c8b166
14b22808a50c
155ee06c937c
hex35aa8ad490

230494491792 has 60 divisors (see below), whose sum is σ = 645104792124. Its totient is φ = 76826691840.

The previous prime is 230494491761. The next prime is 230494491833. The reversal of 230494491792 is 297194494032.

230494491792 is a `hidden beast` number, since 23 + 0 + 4 + 9 + 449 + 179 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86492457216 + 144002034576 = 294096^2 + 379476^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2836042 + ... + 2916182.

Almost surely, 2230494491792 is an apocalyptic number.

It is an amenable number.

230494491792 is an abundant number, since it is smaller than the sum of its proper divisors (414610300332).

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

230494491792 is a wasteful number, since it uses less digits than its factorization.

230494491792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100128 (or 100119 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 230494491792 in words is "two hundred thirty billion, four hundred ninety-four million, four hundred ninety-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19973 39946 59919 79892 80141 119838 159784 160282 179757 239676 240423 319568 320564 359514 479352 480846 641128 719028 721269 958704 961692 1282256 1438056 1442538 1923384 2876112 2885076 3846768 5770152 11540304 1600656193 3201312386 4801968579 6402624772 9603937158 12805249544 14405905737 19207874316 25610499088 28811811474 38415748632 57623622948 76831497264 115247245896 230494491792