Search a number
-
+
22120201020200 = 2352535297393961
BaseRepresentation
bin1010000011110010000101…
…01110010110001100101000
32220022200002211201211222212
411001321002232112030220
510344404132430121300
6115013514032104252
74442063126236043
oct501710256261450
986280084654885
1022120201020200
117059140892438
122593062695088
13c45c06585c1a
145668a2a1dc5a
152855e57c5935
hex141e42b96328

22120201020200 has 96 divisors (see below), whose sum is σ = 52409860074360. Its totient is φ = 8679474585600.

The previous prime is 22120201020199. The next prime is 22120201020227. The reversal of 22120201020200 is 202010202122.

It can be written as a sum of positive squares in 12 ways, for example, as 2585233073956 + 19534967946244 = 1607866^2 + 4419838^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55951220 + ... + 56345180.

Almost surely, 222120201020200 is an apocalyptic number.

22120201020200 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 22120201020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26204930037180).

22120201020200 is an abundant number, since it is smaller than the sum of its proper divisors (30289659054160).

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

22120201020200 is a wasteful number, since it uses less digits than its factorization.

22120201020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399327 (or 399318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22120201020200 its reverse (202010202122), we get a palindrome (22322211222322).

The spelling of 22120201020200 in words is "twenty-two trillion, one hundred twenty billion, two hundred one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5297 5300 10594 10600 21188 26485 42376 52970 105940 132425 211880 264850 280741 393961 529700 561482 787922 1059400 1122964 1403705 1575844 1969805 2245928 2807410 3151688 3939610 5614820 7018525 7879220 9849025 11229640 14037050 15758440 19698050 20879933 28074100 39396100 41759866 56148200 78792200 83519732 104399665 167039464 208799330 417598660 521998325 835197320 1043996650 2086811417 2087993300 4173622834 4175986600 8347245668 10434057085 16694491336 20868114170 41736228340 52170285425 83472456680 104340570850 110601005101 208681141700 221202010202 417362283400 442404020404 553005025505 884808040808 1106010051010 2212020102020 2765025127525 4424040204040 5530050255050 11060100510100 22120201020200