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222253006541 is a prime number
BaseRepresentation
bin1100111011111101001…
…1111011111011001101
3210020200012020112200212
43032333103323323031
512120133232202131
6250033541132205
722025431246046
oct3167723737315
9706605215625
10222253006541
11862910343a5
12370a80ba065
1317c5c6c7177
14aa856c18cd
155babdcca2b
hex33bf4fbecd

222253006541 has 2 divisors, whose sum is σ = 222253006542. Its totient is φ = 222253006540.

The previous prime is 222253006529. The next prime is 222253006543. The reversal of 222253006541 is 145600352222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197806120516 + 24446886025 = 444754^2 + 156355^2 .

It is a cyclic number.

It is not a de Polignac number, because 222253006541 - 210 = 222253005517 is a prime.

Together with 222253006543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 222253006498 and 222253006507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222253006543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111126503270 + 111126503271.

It is an arithmetic number, because the mean of its divisors is an integer number (111126503271).

Almost surely, 2222253006541 is an apocalyptic number.

It is an amenable number.

222253006541 is a deficient number, since it is larger than the sum of its proper divisors (1).

222253006541 is an equidigital number, since it uses as much as digits as its factorization.

222253006541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 222253006541 its reverse (145600352222), we get a palindrome (367853358763).

The spelling of 222253006541 in words is "two hundred twenty-two billion, two hundred fifty-three million, six thousand, five hundred forty-one".