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22200220100221 = 172319812401969
BaseRepresentation
bin1010000110000111001000…
…01110111010011001111101
32220121022122111202021212021
411003003210032322121331
510402212022321201341
6115114350150440141
74450625102215402
oct503034416723175
986538574667767
1022200220100221
11708a073540629
1225a6674963051
13c5061963b497
1456a6d41242a9
1528772a7b29d1
hex1430e43ba67d

22200220100221 has 12 divisors (see below), whose sum is σ = 23583679993780. Its totient is φ = 20893662766080.

The previous prime is 22200220100203. The next prime is 22200220100237. The reversal of 22200220100221 is 12200102200222.

It can be written as a sum of positive squares in 6 ways, for example, as 450952540900 + 21749267559321 = 671530^2 + 4663611^2 .

It is not a de Polignac number, because 22200220100221 - 241 = 20001196844669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22200220100195 and 22200220100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200220100621) 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, 8041525 + ... + 10443493.

Almost surely, 222200220100221 is an apocalyptic number.

It is an amenable number.

22200220100221 is a deficient number, since it is larger than the sum of its proper divisors (1383459893559).

22200220100221 is a wasteful number, since it uses less digits than its factorization.

22200220100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433984 (or 2433967 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22200220100221 its reverse (12200102200222), we get a palindrome (34400322300443).

The spelling of 22200220100221 in words is "twenty-two trillion, two hundred billion, two hundred twenty million, one hundred thousand, two hundred twenty-one".

Divisors: 1 17 289 31981 543677 2401969 9242509 40833473 694169041 76817370589 1305895300013 22200220100221