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23331200214300 = 22352119297610399
BaseRepresentation
bin1010100111000001101111…
…11001101010010100011100
310001121102220110100220201120
411103200313321222110130
511024224244223324200
6121342112211410540
74625423614450266
oct523406771522434
9101542813326646
1023331200214300
117485785306890
1227498ab8b3a50
1310031798754b4
145a9343c88b36
152a6d70e419a0
hex153837e6a51c

23331200214300 has 144 divisors (see below), whose sum is σ = 73721031552000. Its totient is φ = 5649959475200.

The previous prime is 23331200214299. The next prime is 23331200214307. The reversal of 23331200214300 is 341200213332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23331200214307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739500 + ... + 6870899.

It is an arithmetic number, because the mean of its divisors is an integer number (511951608000).

Almost surely, 223331200214300 is an apocalyptic number.

23331200214300 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 23331200214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36860515776000).

23331200214300 is an abundant number, since it is smaller than the sum of its proper divisors (50389831337700).

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

23331200214300 is a wasteful number, since it uses less digits than its factorization.

23331200214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611356 (or 7611349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23331200214300 its reverse (341200213332), we get a palindrome (23672400427632).

The spelling of 23331200214300 in words is "twenty-three trillion, three hundred thirty-one billion, two hundred million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 929 1100 1650 1858 2787 3300 3716 4645 5574 9290 10219 11148 13935 18580 20438 23225 27870 30657 40876 46450 51095 55740 61314 69675 92900 102190 122628 139350 153285 204380 255475 278700 306570 510950 613140 766425 1021900 1532850 3065700 7610399 15220798 22831197 30441596 38051995 45662394 76103990 83714389 91324788 114155985 152207980 167428778 190259975 228311970 251143167 334857556 380519950 418571945 456623940 502286334 570779925 761039900 837143890 1004572668 1141559850 1255715835 1674287780 2092859725 2283119700 2511431670 4185719450 5022863340 6278579175 7070060671 8371438900 12557158350 14140121342 21210182013 25114316700 28280242684 35350303355 42420364026 70700606710 77770667381 84840728052 106050910065 141401213420 155541334762 176751516775 212101820130 233312002143 311082669524 353503033550 388853336905 424203640260 466624004286 530254550325 707006067100 777706673810 933248008572 1060509100650 1166560010715 1555413347620 1944266684525 2121018201300 2333120021430 3888533369050 4666240042860 5832800053575 7777066738100 11665600107150 23331200214300