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2201212212200 = 2352163412716361
BaseRepresentation
bin100000000010000010011…
…110001101001111101000
321210102201021010021222122
4200002002132031033220
5242031040311242300
64403120053010412
7315014043042311
oct40020236151750
97712637107878
102201212212200
1177958a9a9a51
122b6739623a08
1312c75ba62471
147877995d608
153c3d2aa0c85
hex2008278d3e8

2201212212200 has 96 divisors (see below), whose sum is σ = 5150778543360. Its totient is φ = 874817625600.

The previous prime is 2201212212139. The next prime is 2201212212209. The reversal of 2201212212200 is 22122121022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2201212212209) 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, 134532020 + ... + 134548380.

It is an arithmetic number, because the mean of its divisors is an integer number (53653943160).

Almost surely, 22201212212200 is an apocalyptic number.

2201212212200 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 2201212212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575389271680).

2201212212200 is an abundant number, since it is smaller than the sum of its proper divisors (2949566331160).

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

2201212212200 is a wasteful number, since it uses less digits than its factorization.

2201212212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20667 (or 20658 counting only the distinct ones).

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

Adding to 2201212212200 its reverse (22122121022), we get a palindrome (2223334333222).

The spelling of 2201212212200 in words is "two trillion, two hundred one billion, two hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 4127 6520 8150 8254 16300 16361 16508 20635 32600 32722 33016 41270 65444 81805 82540 103175 130888 163610 165080 206350 327220 409025 412700 654440 672701 818050 825400 1345402 1636100 2666843 2690804 3272200 3363505 5333686 5381608 6727010 10667372 13334215 13454020 16817525 21334744 26668430 26908040 33635050 53336860 66671075 67270100 67521847 106673720 133342150 134540200 135043694 266684300 270087388 337609235 533368600 540174776 675218470 1350436940 1688046175 2700873880 3376092350 6752184700 11006061061 13504369400 22012122122 44024244244 55030305305 88048488488 110060610610 220121221220 275151526525 440242442440 550303053050 1100606106100 2201212212200