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201222111200 = 25521122866149
BaseRepresentation
bin1011101101100111000…
…1011011111111100000
3201020101111220100220012
42323121301123333200
511244100330024300
6232235024104052
720352320503265
oct2733161337740
9636344810805
10201222111200
11783796aa460
1232bb8a65028
1315c8a5859b6
149a4c52926c
15537a8cb435
hex2ed9c5bfe0

201222111200 has 72 divisors (see below), whose sum is σ = 535891091400. Its totient is φ = 73171673600.

The previous prime is 201222111199. The next prime is 201222111203. The reversal of 201222111200 is 2111222102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11424275 + ... + 11441874.

It is an arithmetic number, because the mean of its divisors is an integer number (7442931825).

Almost surely, 2201222111200 is an apocalyptic number.

201222111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222111200 is an abundant number, since it is smaller than the sum of its proper divisors (334668980200).

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

201222111200 is a wasteful number, since it uses less digits than its factorization.

201222111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22866180 (or 22866167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201222111200 its reverse (2111222102), we get a palindrome (203333333302).

The spelling of 201222111200 in words is "two hundred one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 22866149 45732298 91464596 114330745 182929192 228661490 251527639 365858384 457322980 503055278 571653725 731716768 914645960 1006110556 1143307450 1257638195 1829291920 2012221112 2286614900 2515276390 3658583840 4024442224 4573229800 5030552780 6288190975 8048884448 9146459600 10061105560 12576381950 18292919200 20122211120 25152763900 40244422240 50305527800 100611055600 201222111200