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193940441 is a prime number
BaseRepresentation
bin10111000111101…
…00101111011001
3111111221012021022
423203310233121
5344122043231
631124452225
74543316012
oct1343645731
9444835238
10193940441
119a524362
1254b4a075
1331245176
141ba86009
151205dc7b
hexb8f4bd9

193940441 has 2 divisors, whose sum is σ = 193940442. Its totient is φ = 193940440.

The previous prime is 193940423. The next prime is 193940443. The reversal of 193940441 is 144049391.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164737225 + 29203216 = 12835^2 + 5404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-193940441 is a prime.

It is a super-2 number, since 2×1939404412 = 75225789310548962, which contains 22 as substring.

Together with 193940443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (193940443) 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, 96970220 + 96970221.

It is an arithmetic number, because the mean of its divisors is an integer number (96970221).

Almost surely, 2193940441 is an apocalyptic number.

It is an amenable number.

193940441 is a deficient number, since it is larger than the sum of its proper divisors (1).

193940441 is an equidigital number, since it uses as much as digits as its factorization.

193940441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 193940441 is about 13926.2500695629. The cubic root of 193940441 is about 578.8367897869.

The spelling of 193940441 in words is "one hundred ninety-three million, nine hundred forty thousand, four hundred forty-one".