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221233200201 = 32132776826289
BaseRepresentation
bin1100111000001010000…
…1101011110001001001
3210011001010022000101200
43032002201223301021
512111041144401301
6245344431134413
721661236113526
oct3160241536111
9704033260350
10221233200201
1185908412842
1236a62674409
1317b29343a70
14a9ca09a14d
155b4c5d7c86
hex338286bc49

221233200201 has 24 divisors (see below), whose sum is σ = 345382968840. Its totient is φ = 135651995136.

The previous prime is 221233200187. The next prime is 221233200259. The reversal of 221233200201 is 102002332122.

221233200201 is a `hidden beast` number, since 22 + 123 + 320 + 0 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2489910201 + 218743290000 = 49899^2 + 467700^2 .

It is not a de Polignac number, because 221233200201 - 26 = 221233200137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221233200701) 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 23 ways as a sum of consecutive naturals, for example, 3380736 + ... + 3445553.

It is an arithmetic number, because the mean of its divisors is an integer number (14390957035).

Almost surely, 2221233200201 is an apocalyptic number.

It is an amenable number.

221233200201 is a deficient number, since it is larger than the sum of its proper divisors (124149768639).

221233200201 is a wasteful number, since it uses less digits than its factorization.

221233200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826585 (or 6826582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221233200201 its reverse (102002332122), we get a palindrome (323235532323).

The spelling of 221233200201 in words is "two hundred twenty-one billion, two hundred thirty-three million, two hundred thousand, two hundred one".

Divisors: 1 3 9 13 39 117 277 831 2493 3601 10803 32409 6826289 20478867 61436601 88741757 266225271 798675813 1890882053 5672646159 17017938477 24581466689 73744400067 221233200201