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230143330000 = 245437622009
BaseRepresentation
bin1101011001010110011…
…1001000011011010000
3211000001002021111200001
43112111213020123100
512232313143030000
6253420522135344
722425111012403
oct3262547103320
9730032244601
10230143330000
118966aa01181
123872a651554
13189192b920c
14b1d3599d3a
155ebe96146a
hex35959c86d0

230143330000 has 100 divisors (see below), whose sum is σ = 572260396180. Its totient is φ = 89569152000.

The previous prime is 230143329971. The next prime is 230143330019. The reversal of 230143330000 is 33341032.

It can be written as a sum of positive squares in 10 ways, for example, as 105147141696 + 124996188304 = 324264^2 + 353548^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 230143330000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58996 + ... + 681004.

Almost surely, 2230143330000 is an apocalyptic number.

230143330000 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 230143330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286130198090).

230143330000 is an abundant number, since it is smaller than the sum of its proper divisors (342117066180).

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

230143330000 is an equidigital number, since it uses as much as digits as its factorization.

230143330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622074 (or 622053 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 230143330000 its reverse (33341032), we get a palindrome (230176671032).

The spelling of 230143330000 in words is "two hundred thirty billion, one hundred forty-three million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 74000 92500 185000 370000 622009 1244018 2488036 3110045 4976072 6220090 9952144 12440180 15550225 23014333 24880360 31100450 46028666 49760720 62200900 77751125 92057332 115071665 124401800 155502250 184114664 230143330 248803600 311004500 368229328 388755625 460286660 575358325 622009000 777511250 920573320 1150716650 1244018000 1555022500 1841146640 2301433300 2876791625 3110045000 4602866600 5753583250 6220090000 9205733200 11507166500 14383958125 23014333000 28767916250 46028666000 57535832500 115071665000 230143330000