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22541144257 is a prime number
BaseRepresentation
bin10100111111100011…
…101001000011000001
32011011221010202211201
4110333203221003001
5332131013104012
614204422541201
71425406364512
oct247743510301
964157122751
1022541144257
119617985345
124450b97801
132182cb16a8
14113b9a6a09
158bddc2857
hex53f8e90c1

22541144257 has 2 divisors, whose sum is σ = 22541144258. Its totient is φ = 22541144256.

The previous prime is 22541144191. The next prime is 22541144281. The reversal of 22541144257 is 75244114522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13345101441 + 9196042816 = 115521^2 + 95896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22541144257 is a prime.

It is not a weakly prime, because it can be changed into another prime (22541147257) 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 as a sum of consecutive naturals, namely, 11270572128 + 11270572129.

It is an arithmetic number, because the mean of its divisors is an integer number (11270572129).

Almost surely, 222541144257 is an apocalyptic number.

It is an amenable number.

22541144257 is a deficient number, since it is larger than the sum of its proper divisors (1).

22541144257 is an equidigital number, since it uses as much as digits as its factorization.

22541144257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 89600, while the sum is 37.

Adding to 22541144257 its reverse (75244114522), we get a palindrome (97785258779).

The spelling of 22541144257 in words is "twenty-two billion, five hundred forty-one million, one hundred forty-four thousand, two hundred fifty-seven".