Search a number
-
+
200223310200144 = 24371174779724441
BaseRepresentation
bin101101100001101000011111…
…010001111011110101010000
3222020221011100202011121020220
4231201220133101323311100
5202220424314402401034
61545501152514033040
760113441164562640
oct5541503721736520
9866834322147226
10200223310200144
1158885257884970
121a558751578780
138794c919c999a
143762c078a0520
151823403b99749
hexb61a1f47bd50

200223310200144 has 160 divisors (see below), whose sum is σ = 644884590935040. Its totient is φ = 52005287347200.

The previous prime is 200223310200131. The next prime is 200223310200163. The reversal of 200223310200144 is 441002013322002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 276020964 + ... + 276745404.

It is an arithmetic number, because the mean of its divisors is an integer number (4030528693344).

Almost surely, 2200223310200144 is an apocalyptic number.

200223310200144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200223310200144 is an abundant number, since it is smaller than the sum of its proper divisors (444661280734896).

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

200223310200144 is a wasteful number, since it uses less digits than its factorization.

200223310200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799249 (or 799243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 200223310200144 its reverse (441002013322002), we get a palindrome (641225323522146).

The spelling of 200223310200144 in words is "two hundred trillion, two hundred twenty-three billion, three hundred ten million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 74779 149558 224337 299116 448674 523453 598232 724441 822569 897348 1046906 1196464 1448882 1570359 1645138 1794696 2093812 2173323 2467707 2897764 3140718 3290276 3589392 4187624 4346646 4935414 5071087 5757983 5795528 6281436 6580552 7968851 8375248 8693292 9870828 10142174 11515966 11591056 12562872 13161104 15213261 15937702 17273949 17386584 19741656 20284348 23031932 23906553 25125744 30426522 31875404 34547898 34773168 39483312 40568696 46063864 47813106 55781957 60853044 63750808 69095796 81137392 92127728 95626212 111563914 121706088 127501616 138191592 167345871 191252424 223127828 243412176 276383184 334691742 382504848 446255656 669383484 892511312 1338766968 2677533936 54172973539 108345947078 162518920617 216691894156 325037841234 379210814773 433383788312 595902708929 650075682468 758421629546 866767576624 1137632444319 1191805417858 1300151364936 1516843259092 1787708126787 2275264888638 2383610835716 2600302729872 3033686518184 3575416253574 4171318962503 4550529777276 4767221671432 6067373036368 7150832507148 8342637925006 9101059554552 9534443342864 12513956887509 14301665014296 16685275850012 18202119109104 25027913775018 28603330028592 33370551700024 50055827550036 66741103400048 100111655100072 200223310200144