Search a number
-
+
2226085932397 is a prime number
BaseRepresentation
bin100000011001001101000…
…011111010110101101101
321212210220202102012110211
4200121031003322311231
5242433010444314042
64422352203102421
7316554325136065
oct40311503726555
97783822365424
102226085932397
117890945250a8
122bb51b811a11
13131bc40835b2
1479a592343a5
153cd8b62c017
hex2064d0fad6d

2226085932397 has 2 divisors, whose sum is σ = 2226085932398. Its totient is φ = 2226085932396.

The previous prime is 2226085932377. The next prime is 2226085932403. The reversal of 2226085932397 is 7932395806222.

2226085932397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2225768593801 + 317338596 = 1491901^2 + 17814^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2226085932397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2226085932307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113042966198 + 1113042966199.

It is an arithmetic number, because the mean of its divisors is an integer number (1113042966199).

Almost surely, 22226085932397 is an apocalyptic number.

It is an amenable number.

2226085932397 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226085932397 is an equidigital number, since it uses as much as digits as its factorization.

2226085932397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 2226085932397 in words is "two trillion, two hundred twenty-six billion, eighty-five million, nine hundred thirty-two thousand, three hundred ninety-seven".