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2200200212200 = 235237297324353
BaseRepresentation
bin100000000001000110001…
…001101110111011101000
321210100002201212100222011
4200001012021232323220
5242022002223242300
64402431422205304
7314650004142064
oct40010611567350
97710081770864
102200200212200
1177911072a411
122b64b6723834
1312c62a1b32b3
14786c13aaaa4
153c373cedeba
hex2004626eee8

2200200212200 has 48 divisors (see below), whose sum is σ = 5253721335180. Its totient is φ = 856294133760.

The previous prime is 2200200212149. The next prime is 2200200212201. The reversal of 2200200212200 is 22120020022.

It can be written as a sum of positive squares in 6 ways, for example, as 1664548950276 + 535651261924 = 1290174^2 + 731882^2 .

It is not an unprimeable number, because it can be changed into a prime (2200200212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148654777 + ... + 148669576.

Almost surely, 22200200212200 is an apocalyptic number.

2200200212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200200212200 is an abundant number, since it is smaller than the sum of its proper divisors (3053521122980).

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

2200200212200 is a wasteful number, since it uses less digits than its factorization.

2200200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297324406 (or 297324397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2200200212200 its reverse (22120020022), we get a palindrome (2222320232222).

The spelling of 2200200212200 in words is "two trillion, two hundred billion, two hundred million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 297324353 594648706 1189297412 1486621765 2378594824 2973243530 5946487060 7433108825 11001001061 11892974120 14866217650 22002002122 29732435300 44004004244 55005005305 59464870600 88008008488 110010010610 220020021220 275025026525 440040042440 550050053050 1100100106100 2200200212200