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2220221101200 = 243521850184251
BaseRepresentation
bin100000010011101111011…
…111010111010010010000
321212020210000200220112120
4200103233133113102100
5242334003100214300
64415542215254240
7316256101656624
oct40235737272220
97766700626476
102220221101200
11786654a26673
122ba36367a380
1313149acc2b8b
147966036d184
153cb467e43a0
hex204ef7d7490

2220221101200 has 60 divisors (see below), whose sum is σ = 7112108264688. Its totient is φ = 592058960000.

The previous prime is 2220221101121. The next prime is 2220221101223. The reversal of 2220221101200 is 21011220222.

2220221101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×22202211012003 (a number of 38 digits) contains 333 as substring.

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 2220221101200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 925090926 + ... + 925093325.

Almost surely, 22220221101200 is an apocalyptic number.

2220221101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220221101200 is an abundant number, since it is smaller than the sum of its proper divisors (4891887163488).

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

2220221101200 is a wasteful number, since it uses less digits than its factorization.

2220221101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850184272 (or 1850184261 counting only the distinct ones).

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

Adding to 2220221101200 its reverse (21011220222), we get a palindrome (2241232321422).

The spelling of 2220221101200 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1850184251 3700368502 5550552753 7400737004 9250921255 11101105506 14801474008 18501842510 22202211012 27752763765 29602948016 37003685020 44404422024 46254606275 55505527530 74007370040 88808844048 92509212550 111011055060 138763818825 148014740080 185018425100 222022110120 277527637650 370036850200 444044220240 555055275300 740073700400 1110110550600 2220221101200