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230003022000 = 24353139275783
BaseRepresentation
bin1101011000110100111…
…1111001100010110000
3210222200022021010021110
43112031033321202300
512232021233201000
6253354550553320
722421455300233
oct3261517714260
9728608233243
10230003022000
11895a8789754
12386ab668840
13188c620192b
14b1bcab541a
155eb2498850
hex358d3f98b0

230003022000 has 160 divisors (see below), whose sum is σ = 746867197440. Its totient is φ = 60892665600.

The previous prime is 230003021987. The next prime is 230003022019. The reversal of 230003022000 is 220300032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696109 + ... + 971891.

It is an arithmetic number, because the mean of its divisors is an integer number (4667919984).

Almost surely, 2230003022000 is an apocalyptic number.

230003022000 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 230003022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373433598720).

230003022000 is an abundant number, since it is smaller than the sum of its proper divisors (516864175440).

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

230003022000 is a wasteful number, since it uses less digits than its factorization.

230003022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275948 (or 275932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 230003022000 its reverse (220300032), we get a palindrome (230223322032).

The spelling of 230003022000 in words is "two hundred thirty billion, three million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 139 150 200 240 250 278 300 375 400 417 500 556 600 695 750 834 1000 1112 1200 1390 1500 1668 2000 2085 2224 2780 3000 3336 3475 4170 5560 6000 6672 6950 8340 10425 11120 13900 16680 17375 20850 27800 33360 34750 41700 52125 55600 69500 83400 104250 139000 166800 208500 275783 278000 417000 551566 827349 834000 1103132 1378915 1654698 2206264 2757830 3309396 4136745 4412528 5515660 6618792 6894575 8273490 11031320 13237584 13789150 16546980 20683725 22062640 27578300 33093960 34472875 38333837 41367450 55156600 66187920 68945750 76667674 82734900 103418625 110313200 115001511 137891500 153335348 165469800 191669185 206837250 230003022 275783000 306670696 330939600 383338370 413674500 460006044 551566000 575007555 613341392 766676740 827349000 920012088 958345925 1150015110 1533353480 1654698000 1840024176 1916691850 2300030220 2875037775 3066706960 3833383700 4600060440 4791729625 5750075550 7666767400 9200120880 9583459250 11500151100 14375188875 15333534800 19166918500 23000302200 28750377750 38333837000 46000604400 57500755500 76667674000 115001511000 230003022000