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230230122000 = 24353283135589
BaseRepresentation
bin1101011001101011001…
…0001101111000010000
3211000021010120222220120
43112122302031320100
512233002402401000
6253433302310240
722430213514324
oct3263262157020
9730233528816
10230230122000
11897049a12aa
1238753728380
1318931286c28
14b200d0d984
155ec73a76a0
hex359ac8de10

230230122000 has 160 divisors (see below), whose sum is σ = 744890240640. Its totient is φ = 61177305600.

The previous prime is 230230121971. The next prime is 230230122013. The reversal of 230230122000 is 221032032.

It is a super-2 number, since 2×2302301220002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1630206 + ... + 1765794.

It is an arithmetic number, because the mean of its divisors is an integer number (4655564004).

Almost surely, 2230230122000 is an apocalyptic number.

230230122000 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 230230122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372445120320).

230230122000 is an abundant number, since it is smaller than the sum of its proper divisors (514660118640).

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

230230122000 is a wasteful number, since it uses less digits than its factorization.

230230122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135898 (or 135882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230230122000 its reverse (221032032), we get a palindrome (230451154032).

The spelling of 230230122000 in words is "two hundred thirty billion, two hundred thirty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 283 300 375 400 500 566 600 750 849 1000 1132 1200 1415 1500 1698 2000 2264 2830 3000 3396 4245 4528 5660 6000 6792 7075 8490 11320 13584 14150 16980 21225 22640 28300 33960 35375 42450 56600 67920 70750 84900 106125 113200 135589 141500 169800 212250 271178 283000 339600 406767 424500 542356 566000 677945 813534 849000 1084712 1355890 1627068 1698000 2033835 2169424 2711780 3254136 3389725 4067670 5423560 6508272 6779450 8135340 10169175 10847120 13558900 16270680 16948625 20338350 27117800 32541360 33897250 38371687 40676700 50845875 54235600 67794500 76743374 81353400 101691750 115115061 135589000 153486748 162706800 191858435 203383500 230230122 271178000 306973496 383716870 406767000 460460244 575575305 613946992 767433740 813534000 920920488 959292175 1151150610 1534867480 1841840976 1918584350 2302301220 2877876525 3069734960 3837168700 4604602440 4796460875 5755753050 7674337400 9209204880 9592921750 11511506100 14389382625 15348674800 19185843500 23023012200 28778765250 38371687000 46046024400 57557530500 76743374000 115115061000 230230122000