Search a number
-
+
220220200122000 = 24353132823335899
BaseRepresentation
bin110010000100101000000010…
…110011001111011010010000
31001212201211211101110202202020
4302010220002303033122100
5212331041432212401000
62100211432512251440
764246245565443411
oct6204500263173220
91055654741422666
10220220200122000
1164194953927191
1220848197540b80
1395b58a28673a0
143c54a00a5d808
151a6d675995ba0
hexc84a02ccf690

220220200122000 has 160 divisors (see below), whose sum is σ = 764604535094400. Its totient is φ = 54208049241600.

The previous prime is 220220200121981. The next prime is 220220200122001. The reversal of 220220200122000 is 221002022022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (220220200122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411589950 + ... + 1411745949.

It is an arithmetic number, because the mean of its divisors is an integer number (4778778344340).

Almost surely, 2220220200122000 is an apocalyptic number.

220220200122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220200122000 is an abundant number, since it is smaller than the sum of its proper divisors (544384334972400).

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

220220200122000 is a wasteful number, since it uses less digits than its factorization.

220220200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823335938 (or 2823335922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220220200122000 its reverse (221002022022), we get a palindrome (220441202144022).

The spelling of 220220200122000 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 2823335899 5646671798 8470007697 11293343596 14116679495 16940015394 22586687192 28233358990 33880030788 36703366687 42350038485 45173374384 56466717980 67760061576 70583397475 73406733374 84700076970 110110100061 112933435960 135520123152 141166794950 146813466748 169400153940 183516833435 211750192425 220220200122 225866871920 282333589900 293626933496 338800307880 352916987375 367033666870 423500384850 440440400244 550550500305 564667179800 587253866992 677600615760 705833974750 734067333740 847000769700 880880800488 917584167175 1058750962125 1101101000610 1129334359600 1411667949500 1468134667480 1694001539400 1761761600976 1835168334350 2117501924250 2202202001220 2752752501525 2823335899000 2936269334960 3388003078800 3670336668700 4235003848500 4404404002440 4587920835875 5505505003050 5646671798000 7340673337400 8470007697000 8808808004880 9175841671750 11011010006100 13763762507625 14681346674800 16940015394000 18351683343500 22022020012200 27527525015250 36703366687000 44044040024400 55055050030500 73406733374000 110110100061000 220220200122000