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2201201222000 = 245311891124209
BaseRepresentation
bin100000000010000001110…
…100010010000101110000
321210102200111102221021012
4200002001310102011300
5242031030003101000
64403115021250052
7315013550450024
oct40020164220560
97712614387235
102201201222000
11779584782940
122b6735a03928
1312c7596b4ca1
14787782dc384
153c3d1b2e735
hex20081d12170

2201201222000 has 160 divisors (see below), whose sum is σ = 5871613924800. Its totient is φ = 791442432000.

The previous prime is 2201201221997. The next prime is 2201201222009. The reversal of 2201201222000 is 2221021022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201201222009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395896 + ... + 2520104.

It is an arithmetic number, because the mean of its divisors is an integer number (36697587030).

Almost surely, 22201201222000 is an apocalyptic number.

2201201222000 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 2201201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935806962400).

2201201222000 is an abundant number, since it is smaller than the sum of its proper divisors (3670412702800).

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

2201201222000 is a wasteful number, since it uses less digits than its factorization.

2201201222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124332 (or 1124316 counting only the distinct ones).

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

Adding to 2201201222000 its reverse (2221021022), we get a palindrome (2203422243022).

The spelling of 2201201222000 in words is "two trillion, two hundred one billion, two hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 89 100 110 125 176 178 200 220 250 275 356 400 440 445 500 550 712 880 890 979 1000 1100 1375 1424 1780 1958 2000 2200 2225 2750 3560 3916 4400 4450 4895 5500 7120 7832 8900 9790 11000 11125 15664 17800 19580 22000 22250 24475 35600 39160 44500 48950 78320 89000 97900 122375 178000 195800 244750 391600 489500 979000 1124209 1958000 2248418 4496836 5621045 8993672 11242090 12366299 17987344 22484180 24732598 28105225 44968360 49465196 56210450 61831495 89936720 98930392 100054601 112420900 123662990 140526125 197860784 200109202 224841800 247325980 281052250 309157475 400218404 449683600 494651960 500273005 562104500 618314950 800436808 989303920 1000546010 1100600611 1124209000 1236629900 1545787375 1600873616 2001092020 2201201222 2248418000 2473259800 2501365025 3091574750 4002184040 4402402444 4946519600 5002730050 5503003055 6183149500 8004368080 8804804888 10005460100 11006006110 12366299000 12506825125 17609609776 20010920200 22012012220 24732598000 25013650250 27515015275 40021840400 44024024440 50027300500 55030030550 88048048880 100054601000 110060061100 137575076375 200109202000 220120122200 275150152750 440240244400 550300305500 1100600611000 2201201222000