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19200541 is a prime number
BaseRepresentation
bin100100100111…
…1101000011101
31100010111012011
41021033220131
514403404131
61523311221
7322126153
oct111175035
940114164
1019200541
11a924718
12651b511
133c93589
14279b3d3
151a440b1
hex124fa1d

19200541 has 2 divisors, whose sum is σ = 19200542. Its totient is φ = 19200540.

The previous prime is 19200529. The next prime is 19200553. The reversal of 19200541 is 14500291.

It is a balanced prime because it is at equal distance from previous prime (19200529) and next prime (19200553).

It can be written as a sum of positive squares in only one way, i.e., 14853316 + 4347225 = 3854^2 + 2085^2 .

It is a cyclic number.

It is not a de Polignac number, because 19200541 - 29 = 19200029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19200641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9600270 + 9600271.

It is an arithmetic number, because the mean of its divisors is an integer number (9600271).

Almost surely, 219200541 is an apocalyptic number.

It is an amenable number.

19200541 is a deficient number, since it is larger than the sum of its proper divisors (1).

19200541 is an equidigital number, since it uses as much as digits as its factorization.

19200541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 19200541 is about 4381.8421925031. The cubic root of 19200541 is about 267.7756950316.

The spelling of 19200541 in words is "nineteen million, two hundred thousand, five hundred forty-one".