Search a number
-
+
400222040017 is a prime number
BaseRepresentation
bin1011101001011110001…
…01111010111111010001
31102021001011101011122011
411310233011322333101
523024123320240032
6503505351142521
740625606132002
oct5645705727721
91367034334564
10400222040017
111448079a9348
1265695674a41
132b982641477
14155298811a9
15a626158247
hex5d2f17afd1

400222040017 has 2 divisors, whose sum is σ = 400222040018. Its totient is φ = 400222040016.

The previous prime is 400222039981. The next prime is 400222040021. The reversal of 400222040017 is 710040222004.

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., 289685074176 + 110536965841 = 538224^2 + 332471^2 .

It is a cyclic number.

It is not a de Polignac number, because 400222040017 - 227 = 400087822289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400222040017.

It is not a weakly prime, because it can be changed into another prime (400222040077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200111020008 + 200111020009.

It is an arithmetic number, because the mean of its divisors is an integer number (200111020009).

Almost surely, 2400222040017 is an apocalyptic number.

It is an amenable number.

400222040017 is a deficient number, since it is larger than the sum of its proper divisors (1).

400222040017 is an equidigital number, since it uses as much as digits as its factorization.

400222040017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 22.

The spelling of 400222040017 in words is "four hundred billion, two hundred twenty-two million, forty thousand, seventeen".