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2200001111200 = 255235917214451
BaseRepresentation
bin100000000000111010010…
…010001110010010100000
321210022120212012222202001
4200000322102032102200
5242021100241024300
64402355550533344
7314642035620514
oct40007222162240
97708525188661
102200001111200
11779019300932
122b645bb07254
1312c5c7b82259
14786a2b80144
153c3615c116a
hex2003a48e4a0

2200001111200 has 144 divisors (see below), whose sum is σ = 5390053139520. Its totient is φ = 876842240000.

The previous prime is 2200001111159. The next prime is 2200001111213. The reversal of 2200001111200 is 21111000022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494268975 + ... + 494273425.

It is an arithmetic number, because the mean of its divisors is an integer number (37430924580).

Almost surely, 22200001111200 is an apocalyptic number.

2200001111200 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 2200001111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695026569760).

2200001111200 is an abundant number, since it is smaller than the sum of its proper divisors (3190052028320).

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

2200001111200 is a wasteful number, since it uses less digits than its factorization.

2200001111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2200001111200 its reverse (21111000022), we get a palindrome (2221112111222).

The spelling of 2200001111200 in words is "two trillion, two hundred billion, one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 359 400 718 800 1436 1721 1795 2872 3442 3590 4451 5744 6884 7180 8605 8902 8975 11488 13768 14360 17210 17804 17950 22255 27536 28720 34420 35608 35900 43025 44510 55072 57440 68840 71216 71800 86050 89020 111275 137680 142432 143600 172100 178040 222550 275360 287200 344200 356080 445100 617839 688400 712160 890200 1235678 1376800 1597909 1780400 2471356 3089195 3195818 3560800 4942712 6178390 6391636 7660171 7989545 9885424 12356780 12783272 15320342 15445975 15979090 19770848 24713560 25566544 30640684 30891950 31958180 38300855 39947725 49427120 51133088 61281368 61783900 63916360 76601710 79895450 98854240 122562736 123567800 127832720 153203420 159790900 191504275 245125472 247135600 255665440 306406840 319581800 383008550 494271200 612813680 639163600 766017100 1225627360 1278327200 1532034200 2750001389 3064068400 5500002778 6128136800 11000005556 13750006945 22000011112 27500013890 44000022224 55000027780 68750034725 88000044448 110000055560 137500069450 220000111120 275000138900 440000222240 550000277800 1100000555600 2200001111200