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230148138080 = 2557205489409
BaseRepresentation
bin1101011001010111100…
…1011110010001100000
3211000001102022210010002
43112111321132101200
512232320410404310
6253421213155132
722425166616210
oct3262571362140
9730042283102
10230148138080
11896726955a3
123873018baa8
131891a2b0833
14b1d408c240
155ec00b0da5
hex3595e5e460

230148138080 has 48 divisors (see below), whose sum is σ = 621399975840. Its totient is φ = 78907932672.

The previous prime is 230148138029. The next prime is 230148138089. The reversal of 230148138080 is 80831841032.

230148138080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230148138089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 102743585 + ... + 102745824.

It is an arithmetic number, because the mean of its divisors is an integer number (12945832830).

Almost surely, 2230148138080 is an apocalyptic number.

230148138080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230148138080 is an abundant number, since it is smaller than the sum of its proper divisors (391251837760).

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

230148138080 is a wasteful number, since it uses less digits than its factorization.

230148138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205489431 (or 205489423 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 230148138080 in words is "two hundred thirty billion, one hundred forty-eight million, one hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 205489409 410978818 821957636 1027447045 1438425863 1643915272 2054894090 2876851726 3287830544 4109788180 5753703452 6575661088 7192129315 8219576360 11507406904 14384258630 16439152720 23014813808 28768517260 32878305440 46029627616 57537034520 115074069040 230148138080