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2220201212200 = 235222975764037
BaseRepresentation
bin100000010011101110010…
…011011111100100101000
321212020201122021102221221
4200103232103133210220
5242333433002242300
64415540225111424
7316255440632326
oct40235623374450
97766648242857
102220201212200
11786644781784
122ba358a88574
13131496b4b13a
147965b872d16
153cb44bb631a
hex204ee4df928

2220201212200 has 96 divisors (see below), whose sum is σ = 5191438987800. Its totient is φ = 883020579840.

The previous prime is 2220201212197. The next prime is 2220201212209. The reversal of 2220201212200 is 22121020222.

It can be written as a sum of positive squares in 12 ways, for example, as 133372500804 + 2086828711396 = 365202^2 + 1444586^2 .

It is not an unprimeable number, because it can be changed into a prime (2220201212209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34638582 + ... + 34702618.

Almost surely, 22220201212200 is an apocalyptic number.

2220201212200 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 2220201212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595719493900).

2220201212200 is an abundant number, since it is smaller than the sum of its proper divisors (2971237775600).

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

2220201212200 is a wasteful number, since it uses less digits than its factorization.

2220201212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65039 (or 65030 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2220201212200 its reverse (22121020222), we get a palindrome (2242322232422).

The spelling of 2220201212200 in words is "two trillion, two hundred twenty billion, two hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 757 916 1145 1514 1832 2290 3028 3785 4580 5725 6056 7570 9160 11450 15140 18925 22900 30280 37850 45800 64037 75700 128074 151400 173353 256148 320185 346706 512296 640370 693412 866765 1280740 1386824 1600925 1733530 2561480 3201850 3467060 4333825 6403700 6934120 8667650 12807400 14664473 17335300 29328946 34670600 48476009 58657892 73322365 96952018 117315784 146644730 193904036 242380045 293289460 366611825 387808072 484760090 586578920 733223650 969520180 1211900225 1466447300 1939040360 2423800450 2932894600 4847600900 9695201800 11101006061 22202012122 44404024244 55505030305 88808048488 111010060610 222020121220 277525151525 444040242440 555050303050 1110100606100 2220201212200