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11221023200 = 255261229939
BaseRepresentation
bin10100111001101001…
…10011100111100000
31001222000100001001212
422130310303213200
5140440040220300
65053241245252
7545032060232
oct123464634740
931860301055
1011221023200
114838a7a8a2
122211a93828
13109a9629ca
147863a6252
1545a19c935
hex29cd339e0

11221023200 has 72 divisors (see below), whose sum is σ = 27842514840. Its totient is φ = 4414809600.

The previous prime is 11221023199. The next prime is 11221023217. The reversal of 11221023200 is 232012211.

It is a happy number.

11221023200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112210232002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66170 + ... + 163769.

It is an arithmetic number, because the mean of its divisors is an integer number (386701595).

Almost surely, 211221023200 is an apocalyptic number.

11221023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221023200 is an abundant number, since it is smaller than the sum of its proper divisors (16621491640).

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

11221023200 is a wasteful number, since it uses less digits than its factorization.

11221023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230020 (or 230007 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11221023200 its reverse (232012211), we get a palindrome (11453035411).

The spelling of 11221023200 in words is "eleven billion, two hundred twenty-one million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 610 800 976 1220 1525 1952 2440 3050 4880 6100 9760 12200 24400 48800 229939 459878 919756 1149695 1839512 2299390 3679024 4598780 5748475 7358048 9197560 11496950 14026279 18395120 22993900 28052558 36790240 45987800 56105116 70131395 91975600 112210232 140262790 183951200 224420464 280525580 350656975 448840928 561051160 701313950 1122102320 1402627900 2244204640 2805255800 5610511600 11221023200