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23305030200 = 23325226948131
BaseRepresentation
bin10101101101000101…
…101000101000111000
32020011011112012100200
4111231011220220320
5340212041431300
614412311402200
71453343326314
oct255505505070
966134465320
1023305030200
11997a09a141
124624983360
13227532b6ca
1411b1210b44
15915eb4200
hex56d168a38

23305030200 has 144 divisors (see below), whose sum is σ = 78558643800. Its totient is φ = 6191443200.

The previous prime is 23305030181. The next prime is 23305030283. The reversal of 23305030200 is 203050332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460135 + ... + 508265.

Almost surely, 223305030200 is an apocalyptic number.

23305030200 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 23305030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39279321900).

23305030200 is an abundant number, since it is smaller than the sum of its proper divisors (55253613600).

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

23305030200 is a wasteful number, since it uses less digits than its factorization.

23305030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48422 (or 48410 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

Adding to 23305030200 its reverse (203050332), we get a palindrome (23508080532).

The spelling of 23305030200 in words is "twenty-three billion, three hundred five million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 269 300 360 450 538 600 807 900 1076 1345 1614 1800 2152 2421 2690 3228 4035 4842 5380 6456 6725 8070 9684 10760 12105 13450 16140 19368 20175 24210 26900 32280 40350 48131 48420 53800 60525 80700 96262 96840 121050 144393 161400 192524 240655 242100 288786 385048 433179 481310 484200 577572 721965 866358 962620 1155144 1203275 1443930 1732716 1925240 2165895 2406550 2887860 3465432 3609825 4331790 4813100 5775720 7219650 8663580 9626200 10829475 12947239 14439300 17327160 21658950 25894478 28878600 38841717 43317900 51788956 64736195 77683434 86635800 103577912 116525151 129472390 155366868 194208585 233050302 258944780 310733736 323680975 388417170 466100604 517889560 582625755 647361950 776834340 932201208 971042925 1165251510 1294723900 1553668680 1942085850 2330503020 2589447800 2913128775 3884171700 4661006040 5826257550 7768343400 11652515100 23305030200