Search a number
-
+
33032230313200 = 24521934021106411
BaseRepresentation
bin1111000001010111010100…
…10110101001110011110000
311022221211221220222120211221
413200223222112221303300
513312200001430010300
6154130444102114424
76646333313653066
oct740535226516360
9138854856876757
1033032230313200
11a585987955108
123855a4b11ba14
131557c0641a2a1
14822aa89ba036
153c439dd5031a
hex1e0aea5a9cf0

33032230313200 has 120 divisors (see below), whose sum is σ = 79791713157776. Its totient is φ = 13141039104000.

The previous prime is 33032230313119. The next prime is 33032230313209. The reversal of 33032230313200 is 231303223033.

It is a super-2 number, since 2×330322303132002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33032230313209) 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 23 ways as a sum of consecutive naturals, for example, 310367995 + ... + 310474405.

Almost surely, 233032230313200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33032230313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39895856578888).

33032230313200 is an abundant number, since it is smaller than the sum of its proper divisors (46759482844576).

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

33032230313200 is a wasteful number, since it uses less digits than its factorization.

33032230313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110643 (or 110632 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 33032230313200 its reverse (231303223033), we get a palindrome (33263533536233).

The spelling of 33032230313200 in words is "thirty-three trillion, thirty-two billion, two hundred thirty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 193 200 386 400 772 965 1544 1930 3088 3860 4021 4825 7720 8042 9650 15440 16084 19300 20105 32168 38600 40210 64336 77200 80420 100525 106411 160840 201050 212822 321680 402100 425644 532055 776053 804200 851288 1064110 1552106 1608400 1702576 2128220 2660275 3104212 3880265 4256440 5320550 6208424 7760530 8512880 10641100 12416848 15521060 19401325 20537323 21282200 31042120 38802650 41074646 42564400 62084240 77605300 82149292 102686615 155210600 164298584 205373230 310421200 328597168 410746460 427878631 513433075 821492920 855757262 1026866150 1642985840 1711514524 2053732300 2139393155 3423029048 4107464600 4278786310 6846058096 8214929200 8557572620 10696965775 17115145240 21393931550 34230290480 42787863100 82580575783 85575726200 165161151566 171151452400 330322303132 412902878915 660644606264 825805757830 1321289212528 1651611515660 2064514394575 3303223031320 4129028789150 6606446062640 8258057578300 16516115156600 33032230313200