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22223242541 is a prime number
BaseRepresentation
bin10100101100100110…
…111100010100101101
32010100202221200200002
4110230212330110231
5331003122230131
614113105114045
71414466305403
oct245446742455
963322850602
1022223242541
119474494055
124382628925
132132186576
14110b693473
158a10296cb
hex52c9bc52d

22223242541 has 2 divisors, whose sum is σ = 22223242542. Its totient is φ = 22223242540.

The previous prime is 22223242507. The next prime is 22223242543. The reversal of 22223242541 is 14524232222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13029309316 + 9193933225 = 114146^2 + 95885^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22223242541 is a prime.

It is a super-2 number, since 2×222232425412 (a number of 21 digits) contains 22 as substring.

Together with 22223242543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22223242543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111621270 + 11111621271.

It is an arithmetic number, because the mean of its divisors is an integer number (11111621271).

Almost surely, 222223242541 is an apocalyptic number.

It is an amenable number.

22223242541 is a deficient number, since it is larger than the sum of its proper divisors (1).

22223242541 is an equidigital number, since it uses as much as digits as its factorization.

22223242541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15360, while the sum is 29.

Adding to 22223242541 its reverse (14524232222), we get a palindrome (36747474763).

The spelling of 22223242541 in words is "twenty-two billion, two hundred twenty-three million, two hundred forty-two thousand, five hundred forty-one".