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22200212211201 = 3217145099426217
BaseRepresentation
bin1010000110000111000111…
…10000110100011000000001
32220121022121221220111011100
411003003203300310120001
510402212013311224301
6115114345305405013
74450624645160343
oct503034360643001
986538557814140
1022200212211201
11708a06a042482
1225a6672199769
13c50617b0871b
1456a6d306d293
15287729c55286
hex1430e3c34601

22200212211201 has 12 divisors (see below), whose sum is σ = 33953265735012. Its totient is φ = 13929544916736.

The previous prime is 22200212211181. The next prime is 22200212211209. The reversal of 22200212211201 is 10211221200222.

It is a happy number.

22200212211201 is a `hidden beast` number, since 2 + 220 + 0 + 21 + 221 + 1 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7165392080625 + 15034820130576 = 2676825^2 + 3877476^2 .

It is not a de Polignac number, because 22200212211201 - 26 = 22200212211137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22200212211209) by changing a digit.

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, 72549712956 + ... + 72549713261.

It is an arithmetic number, because the mean of its divisors is an integer number (2829438811251).

Almost surely, 222200212211201 is an apocalyptic number.

It is an amenable number.

22200212211201 is a deficient number, since it is larger than the sum of its proper divisors (11753053523811).

22200212211201 is a wasteful number, since it uses less digits than its factorization.

22200212211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145099426240 (or 145099426237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22200212211201 its reverse (10211221200222), we get a palindrome (32411433411423).

The spelling of 22200212211201 in words is "twenty-two trillion, two hundred billion, two hundred twelve million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 9 17 51 153 145099426217 435298278651 1305894835953 2466690245689 7400070737067 22200212211201