Search a number
-
+
23320200202000 = 2453131947206883
BaseRepresentation
bin1010100110101101010000…
…01111111100011100010000
310001120101111211220101121121
411103112220033330130100
511024034232222431000
6121333052503132024
74624554205053502
oct523265017743420
9101511454811547
1023320200202000
11748105006a829
12274773ba44014
131002115945390
145a89bcdb3d72
152a692a39db1a
hex1535a83fc710

23320200202000 has 160 divisors (see below), whose sum is σ = 63921897486720. Its totient is φ = 8157349209600.

The previous prime is 23320200201989. The next prime is 23320200202003. The reversal of 23320200202000 is 20200202332.

It is a super-2 number, since 2×233202002020002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23320200202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23109442 + ... + 24097441.

It is an arithmetic number, because the mean of its divisors is an integer number (399511859292).

Almost surely, 223320200202000 is an apocalyptic number.

23320200202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23320200202000 is an abundant number, since it is smaller than the sum of its proper divisors (40601697284720).

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

23320200202000 is a wasteful number, since it uses less digits than its factorization.

23320200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47206938 (or 47206922 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 23320200202000 its reverse (20200202332), we get a palindrome (23340400404332).

The spelling of 23320200202000 in words is "twenty-three trillion, three hundred twenty billion, two hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 38 40 50 52 65 76 80 95 100 104 125 130 152 190 200 208 247 250 260 304 325 380 400 475 494 500 520 650 760 950 988 1000 1040 1235 1300 1520 1625 1900 1976 2000 2375 2470 2600 3250 3800 3952 4750 4940 5200 6175 6500 7600 9500 9880 12350 13000 19000 19760 24700 26000 30875 38000 49400 61750 98800 123500 247000 494000 47206883 94413766 188827532 236034415 377655064 472068830 613689479 755310128 896930777 944137660 1180172075 1227378958 1793861554 1888275320 2360344150 2454757916 3068447395 3587723108 3776550640 4484653885 4720688300 4909515832 5900860375 6136894790 7175446216 8969307770 9441376600 9819031664 11660100101 11801720750 12273789580 14350892432 15342236975 17938615540 18882753200 22423269425 23320200202 23603441500 24547579160 30684473950 35877231080 44846538850 46640400404 47206883000 49095158320 58300500505 61368947900 71754462160 76711184875 89693077700 93280800808 94413766000 112116347125 116601001010 122737895800 153422369750 179386155400 186561601616 224232694250 233202002020 245475791600 291502502525 306844739500 358772310800 448465388500 466404004040 583005005050 613689479000 896930777000 932808008080 1166010010100 1227378958000 1457512512625 1793861554000 2332020020200 2915025025250 4664040040400 5830050050500 11660100101000 23320200202000