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221100220012200 = 233521451253963037
BaseRepresentation
bin110010010001011011101000…
…000100101101011010101000
31001222211222022111011002221220
4302101123220010231122220
5212440001222310342300
62102124012220502040
764366651365211104
oct6221335004553250
91058758274132856
10221100220012200
11644a4093142841
122096a8543aa920
13964a879ac0cc9
143c8544465a904
151a864cdd84da0
hexc916e812d6a8

221100220012200 has 96 divisors (see below), whose sum is σ = 685883055987360. Its totient is φ = 58919424352000.

The previous prime is 221100220012183. The next prime is 221100220012213. The reversal of 221100220012200 is 2210022001122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221100220012200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126110919 + ... + 127852118.

It is an arithmetic number, because the mean of its divisors is an integer number (7144615166535).

Almost surely, 2221100220012200 is an apocalyptic number.

221100220012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100220012200 is an abundant number, since it is smaller than the sum of its proper divisors (464782835975160).

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

221100220012200 is a wasteful number, since it uses less digits than its factorization.

221100220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253964507 (or 253964498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221100220012200 its reverse (2210022001122), we get a palindrome (223310242013322).

The spelling of 221100220012200 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1451 2902 4353 5804 7255 8706 11608 14510 17412 21765 29020 34824 36275 43530 58040 72550 87060 108825 145100 174120 217650 290200 435300 870600 253963037 507926074 761889111 1015852148 1269815185 1523778222 2031704296 2539630370 3047556444 3809445555 5079260740 6095112888 6349075925 7618891110 10158521480 12698151850 15237782220 19047227775 25396303700 30475564440 38094455550 50792607400 76188911100 152377822200 368500366687 737000733374 1105501100061 1474001466748 1842501833435 2211002200122 2948002933496 3685003666870 4422004400244 5527505500305 7370007333740 8844008800488 9212509167175 11055011000610 14740014667480 18425018334350 22110022001220 27637527501525 36850036668700 44220044002440 55275055003050 73700073337400 110550110006100 221100220012200