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22100222200221 = 32112233532835841
BaseRepresentation
bin1010000011001100110111…
…11001001100100110011101
32220020202112111001122021100
411001212123321030212131
510344042223340401341
6115000411340423313
74440455052124344
oct501463371144635
986222474048240
1022100222200221
11705071930a270
12258b207847b39
13c440713b5859
1456592948cb5b
15284d268403b6
hex14199be4c99d

22100222200221 has 48 divisors (see below), whose sum is σ = 35079864648192. Its totient is φ = 13296232857600.

The previous prime is 22100222200211. The next prime is 22100222200223. The reversal of 22100222200221 is 12200222200122.

22100222200221 is a `hidden beast` number, since 2 + 21 + 0 + 0 + 222 + 200 + 221 = 666.

It is not a de Polignac number, because 22100222200221 - 222 = 22100218005917 is a prime.

It is a super-2 number, since 2×221002222002212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100222200194 and 22100222200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100222200223) 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 47 ways as a sum of consecutive naturals, for example, 6375261 + ... + 9211101.

It is an arithmetic number, because the mean of its divisors is an integer number (730830513504).

Almost surely, 222100222200221 is an apocalyptic number.

It is an amenable number.

22100222200221 is a deficient number, since it is larger than the sum of its proper divisors (12979642447971).

22100222200221 is a wasteful number, since it uses less digits than its factorization.

22100222200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836434 (or 2836431 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22100222200221 its reverse (12200222200122), we get a palindrome (34300444400343).

Subtracting from 22100222200221 its reverse (12200222200122), we obtain a palindrome (9900000000099).

The spelling of 22100222200221 in words is "twenty-two trillion, one hundred billion, two hundred twenty-two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 223 353 669 1059 2007 2453 3177 3883 7359 11649 22077 34947 78719 236157 708471 865909 2597727 2835841 7793181 8507523 25522569 31194251 93582753 280748259 632392543 1001051873 1897177629 3003155619 5691532887 6956317973 9009466857 11011570603 20868953919 33034711809 62606861757 99104135427 223234567679 669703703037 2009111109111 2455580244469 7366740733407 22100222200221