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2211222012200 = 2352411811489841
BaseRepresentation
bin100000001011010111000…
…110100100000100101000
321211101112212022211011222
4200023113012210010220
5242212040313342300
64411453225441212
7315520066661555
oct40132706440450
97741485284158
102211222012200
117828571a7933
122b8671940208
131306957a1446
1479049113a2c
153c7bb747785
hex202d71a4128

2211222012200 has 96 divisors (see below), whose sum is σ = 5295583795320. Its totient is φ = 858147840000.

The previous prime is 2211222012193. The next prime is 2211222012203. The reversal of 2211222012200 is 22102221122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 379113581284 + 1832108430916 = 615722^2 + 1353554^2 .

It is not an unprimeable number, because it can be changed into a prime (2211222012203) 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, 739280 + ... + 2229120.

Almost surely, 22211222012200 is an apocalyptic number.

2211222012200 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 2211222012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647791897660).

2211222012200 is an abundant number, since it is smaller than the sum of its proper divisors (3084361783120).

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

2211222012200 is a wasteful number, since it uses less digits than its factorization.

2211222012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490079 (or 1490070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2211222012200 its reverse (22102221122), we get a palindrome (2233324233322).

It can be divided in two parts, 221122 and 2012200, that added together give a palindrome (2233322).

The spelling of 2211222012200 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 181 200 205 328 362 410 724 820 905 1025 1448 1640 1810 2050 3620 4100 4525 7240 7421 8200 9050 14842 18100 29684 36200 37105 59368 74210 148420 185525 296840 371050 742100 1484200 1489841 2979682 5959364 7449205 11918728 14898410 29796820 37246025 59593640 61083481 74492050 122166962 148984100 244333924 269661221 297968200 305417405 488667848 539322442 610834810 1078644884 1221669620 1348306105 1527087025 2157289768 2443339240 2696612210 3054174050 5393224420 6108348100 6741530525 10786448840 11056110061 12216696200 13483061050 22112220122 26966122100 44224440244 53932244200 55280550305 88448880488 110561100610 221122201220 276402751525 442244402440 552805503050 1105611006100 2211222012200