Search a number
-
+
22506265176251 is a prime number
BaseRepresentation
bin1010001111000001001011…
…11100001110100010111011
32221200120121022112222222012
411013200211330032202323
510422220312341120001
6115511122510520135
74512011142355313
oct507404574164273
987616538488865
1022506265176251
117197942a55a2a
122635a4680604b
13c73440988c4c
1457b44804a443
1529068da102bb
hex147825f0e8bb

22506265176251 has 2 divisors, whose sum is σ = 22506265176252. Its totient is φ = 22506265176250.

The previous prime is 22506265176223. The next prime is 22506265176293. The reversal of 22506265176251 is 15267156260522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 22506265176251 - 238 = 22231387269307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22506265176251.

It is not a weakly prime, because it can be changed into another prime (22506265176211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11253132588125 + 11253132588126.

It is an arithmetic number, because the mean of its divisors is an integer number (11253132588126).

Almost surely, 222506265176251 is an apocalyptic number.

22506265176251 is a deficient number, since it is larger than the sum of its proper divisors (1).

22506265176251 is an equidigital number, since it uses as much as digits as its factorization.

22506265176251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 22506265176251 in words is "twenty-two trillion, five hundred six billion, two hundred sixty-five million, one hundred seventy-six thousand, two hundred fifty-one".