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22122011200 = 265213826257
BaseRepresentation
bin10100100110100100…
…110001101001000000
32010002201110121101011
4110212210301221000
5330301213324300
614055051250304
71412126664322
oct244644615100
963081417334
1022122011200
119422331493
124354749994
132117201473
1410dc061612
158971ceeba
hex526931a40

22122011200 has 42 divisors (see below), whose sum is σ = 54433977746. Its totient is φ = 8848803840.

The previous prime is 22122011189. The next prime is 22122011213. The reversal of 22122011200 is 211022122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 498896896 + 21623114304 = 22336^2 + 147048^2 .

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 5 ways as a sum of consecutive naturals, for example, 6911529 + ... + 6914728.

Almost surely, 222122011200 is an apocalyptic number.

22122011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122011200 is an abundant number, since it is smaller than the sum of its proper divisors (32311966546).

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

22122011200 is a wasteful number, since it uses less digits than its factorization.

22122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826279 (or 13826264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22122011200 its reverse (211022122), we get a palindrome (22333033322).

The spelling of 22122011200 in words is "twenty-two billion, one hundred twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 13826257 27652514 55305028 69131285 110610056 138262570 221220112 276525140 345656425 442440224 553050280 691312850 884880448 1106100560 1382625700 2212201120 2765251400 4424402240 5530502800 11061005600 22122011200