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2201122020200 = 2352231697281971
BaseRepresentation
bin100000000001111101000…
…110001001101101101000
321210102110222102001211012
4200001331012021231220
5242030344214121300
64403103111523052
7315011566320005
oct40017506115550
97712428361735
102201122020200
11779543aa7404
122b6713389488
1312c74617400c
147876b9a28ac
153c3c9bd7435
hex2007d189b68

2201122020200 has 96 divisors (see below), whose sum is σ = 5343279168960. Its totient is φ = 841669171200.

The previous prime is 2201122020197. The next prime is 2201122020211. The reversal of 2201122020200 is 20202211022.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7665215 + ... + 7947185.

It is an arithmetic number, because the mean of its divisors is an integer number (55659158010).

Almost surely, 22201122020200 is an apocalyptic number.

2201122020200 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 2201122020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671639584480).

2201122020200 is an abundant number, since it is smaller than the sum of its proper divisors (3142157148760).

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

2201122020200 is a wasteful number, since it uses less digits than its factorization.

2201122020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283707 (or 283698 counting only the distinct ones).

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

Adding to 2201122020200 its reverse (20202211022), we get a palindrome (2221324231222).

The spelling of 2201122020200 in words is "two trillion, two hundred one billion, one hundred twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1697 2300 3394 4600 6788 8485 13576 16970 33940 39031 42425 67880 78062 84850 156124 169700 195155 281971 312248 339400 390310 563942 780620 975775 1127884 1409855 1561240 1951550 2255768 2819710 3903100 5639420 6485333 7049275 7806200 11278840 12970666 14098550 25941332 28197100 32426665 51882664 56394200 64853330 129706660 162133325 259413320 324266650 478504787 648533300 957009574 1297066600 1914019148 2392523935 3828038296 4785047870 9570095740 11005610101 11962619675 19140191480 22011220202 23925239350 44022440404 47850478700 55028050505 88044880808 95700957400 110056101010 220112202020 275140252525 440224404040 550280505050 1100561010100 2201122020200