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2201022122200 = 2352113067326203
BaseRepresentation
bin100000000001110111001…
…001000100100011011000
321210102020000102201112021
4200001313021010203120
5242030143130402300
64403045142424224
7315006244231126
oct40016711044330
97712200381467
102201022122200
117794a2675580
122b66a5a32074
1312c72b567a85
147875c5da916
153c3c1052d1a
hex200772448d8

2201022122200 has 96 divisors (see below), whose sum is σ = 5584429805760. Its totient is φ = 800108265600.

The previous prime is 2201022122147. The next prime is 2201022122209. The reversal of 2201022122200 is 22212201022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201022122209) 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, 6584299 + ... + 6910501.

It is an arithmetic number, because the mean of its divisors is an integer number (58171143810).

Almost surely, 22201022122200 is an apocalyptic number.

2201022122200 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 2201022122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792214902880).

2201022122200 is an abundant number, since it is smaller than the sum of its proper divisors (3383407683560).

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

2201022122200 is a wasteful number, since it uses less digits than its factorization.

2201022122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329297 (or 329288 counting only the distinct ones).

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

Adding to 2201022122200 its reverse (22212201022), we get a palindrome (2223234323222).

The spelling of 2201022122200 in words is "two trillion, two hundred one billion, twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3067 6134 12268 15335 24536 30670 33737 61340 67474 76675 122680 134948 153350 168685 269896 306700 326203 337370 613400 652406 674740 843425 1304812 1349480 1631015 1686850 2609624 3262030 3373700 3588233 6524060 6747400 7176466 8155075 13048120 14352932 16310150 17941165 28705864 32620300 35882330 65240600 71764660 89705825 143529320 179411650 358823300 717646600 1000464601 2000929202 4001858404 5002323005 8003716808 10004646010 11005110611 20009292020 22010221222 25011615025 40018584040 44020442444 50023230050 55025553055 88040884888 100046460100 110051106110 200092920200 220102212220 275127765275 440204424440 550255530550 1100511061100 2201022122200