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230023210020 = 223517991227561
BaseRepresentation
bin1101011000111001110…
…0111010010000100100
3210222201201020210000220
43112032130322100210
512232041420210040
6253400551404340
722422122011362
oct3261634722044
9728651223026
10230023210020
118960911826a
12386b63836b0
13188ca44c7c6
14b1c164c632
155eb41352d0
hex358e73a424

230023210020 has 96 divisors (see below), whose sum is σ = 682642308096. Its totient is φ = 57672806400.

The previous prime is 230023210007. The next prime is 230023210049. The reversal of 230023210020 is 20012320032.

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, 897040 + ... + 1124600.

It is an arithmetic number, because the mean of its divisors is an integer number (7110857376).

Almost surely, 2230023210020 is an apocalyptic number.

230023210020 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 230023210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341321154048).

230023210020 is an abundant number, since it is smaller than the sum of its proper divisors (452619098076).

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

230023210020 is a wasteful number, since it uses less digits than its factorization.

230023210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228581 (or 228579 counting only the distinct ones).

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

Adding to 230023210020 its reverse (20012320032), we get a palindrome (250035530052).

The spelling of 230023210020 in words is "two hundred thirty billion, twenty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 991 1020 1982 2973 3964 4955 5946 9910 11892 14865 16847 19820 29730 33694 50541 59460 67388 84235 101082 168470 202164 227561 252705 336940 455122 505410 682683 910244 1010820 1137805 1365366 2275610 2730732 3413415 3868537 4551220 6826830 7737074 11605611 13653660 15474148 19342685 23211222 38685370 46422444 58028055 77370740 116056110 225512951 232112220 451025902 676538853 902051804 1127564755 1353077706 2255129510 2706155412 3382694265 3833720167 4510259020 6765388530 7667440334 11501160501 13530777060 15334880668 19168600835 23002321002 38337201670 46004642004 57505802505 76674403340 115011605010 230023210020