Search a number
-
+
22636220400257 is a prime number
BaseRepresentation
bin1010010010110011001111…
…11000000100001010000001
32222011000001010020101110212
411021121213320010022001
510431332434410302012
6120050534110203505
74524261433503362
oct511314770041201
988130033211425
1022636220400257
117237a70322202
1226570744b3595
13c827814b40b9
145838555bbb69
15293c4797bb22
hex149667e04281

22636220400257 has 2 divisors, whose sum is σ = 22636220400258. Its totient is φ = 22636220400256.

The previous prime is 22636220400247. The next prime is 22636220400281. The reversal of 22636220400257 is 75200402263622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11498989512256 + 11137230888001 = 3391016^2 + 3337249^2 .

It is a cyclic number.

It is not a de Polignac number, because 22636220400257 - 26 = 22636220400193 is a prime.

It is a super-2 number, since 2×226362204002572 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22636220400247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11318110200128 + 11318110200129.

It is an arithmetic number, because the mean of its divisors is an integer number (11318110200129).

Almost surely, 222636220400257 is an apocalyptic number.

It is an amenable number.

22636220400257 is a deficient number, since it is larger than the sum of its proper divisors (1).

22636220400257 is an equidigital number, since it uses as much as digits as its factorization.

22636220400257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 483840, while the sum is 41.

Adding to 22636220400257 its reverse (75200402263622), we get a palindrome (97836622663879).

The spelling of 22636220400257 in words is "twenty-two trillion, six hundred thirty-six billion, two hundred twenty million, four hundred thousand, two hundred fifty-seven".