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4221816817 is a prime number
BaseRepresentation
bin1111101110100011…
…1100111111110001
3101220020002111220211
43323220330333301
532121241114232
61534532104121
7206422564561
oct37350747761
911806074824
104221816817
111877118509
12999a65041
1352387707a
142c09b4da1
1519a98da47
hexfba3cff1

4221816817 has 2 divisors, whose sum is σ = 4221816818. Its totient is φ = 4221816816.

The previous prime is 4221816799. The next prime is 4221816869. The reversal of 4221816817 is 7186181224.

4221816817 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4099072576 + 122744241 = 64024^2 + 11079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4221816817 is a prime.

It is a super-2 number, since 2×42218168172 = 35647474472608022978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4221816817.

It is not a weakly prime, because it can be changed into another prime (4221816887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2110908408 + 2110908409.

It is an arithmetic number, because the mean of its divisors is an integer number (2110908409).

Almost surely, 24221816817 is an apocalyptic number.

It is an amenable number.

4221816817 is a deficient number, since it is larger than the sum of its proper divisors (1).

4221816817 is an equidigital number, since it uses as much as digits as its factorization.

4221816817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43008, while the sum is 40.

The square root of 4221816817 is about 64975.5093631439. The cubic root of 4221816817 is about 1616.2174638369.

The spelling of 4221816817 in words is "four billion, two hundred twenty-one million, eight hundred sixteen thousand, eight hundred seventeen".