Search a number
-
+
33230101230200 = 23527152429155717
BaseRepresentation
bin1111000111000111111000…
…11000010011001001111000
311100122202200220000122112102
413203203330120103021320
513323420221403331300
6154401410414402532
76666536613004040
oct743437430231170
9140582626018472
1033230101230200
11a651896923786
123888271800448
13157077b607b24
1482c4ba000720
153c95d04150d5
hex1e38fc613278

33230101230200 has 96 divisors (see below), whose sum is σ = 88298272432800. Its totient is φ = 11393029655040.

The previous prime is 33230101230181. The next prime is 33230101230233. The reversal of 33230101230200 is 203210103233.

It is a super-2 number, since 2×332301012302002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 213322742 + ... + 213478458.

It is an arithmetic number, because the mean of its divisors is an integer number (919773671175).

Almost surely, 233230101230200 is an apocalyptic number.

It is an amenable number.

33230101230200 is an abundant number, since it is smaller than the sum of its proper divisors (55068171202600).

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

33230101230200 is a wasteful number, since it uses less digits than its factorization.

33230101230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308169 (or 308160 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33230101230200 its reverse (203210103233), we get a palindrome (33433311333433).

The spelling of 33230101230200 in words is "thirty-three trillion, two hundred thirty billion, one hundred one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 152429 155717 304858 311434 609716 622868 762145 778585 1067003 1090019 1219432 1245736 1524290 1557170 2134006 2180038 3048580 3114340 3810725 3892925 4268012 4360076 5335015 5450095 6097160 6228680 7621450 7785850 8536024 8720152 10670030 10900190 15242900 15571700 21340060 21800380 26675075 27250475 30485800 31143400 42680120 43600760 53350150 54500950 106700300 109001900 213400600 218003800 23735786593 47471573186 94943146372 118678932965 166150506151 189886292744 237357865930 332301012302 474715731860 593394664825 664602024604 830752530755 949431463720 1186789329650 1329204049208 1661505061510 2373578659300 3323010123020 4153762653775 4747157318600 6646020246040 8307525307550 16615050615100 33230101230200