Search a number
-
+
22310000222269 is a prime number
BaseRepresentation
bin1010001001010011100111…
…01000110110000000111101
32220222211000021102022101111
411010221303220312000331
510411011340024103034
6115241023403442021
74461562413651304
oct504516350660075
986884007368344
1022310000222269
117121688561121
1226039b1b26311
13c5aa93411396
14571b4a02d43b
1528a503426364
hex144a73a3603d

22310000222269 has 2 divisors, whose sum is σ = 22310000222270. Its totient is φ = 22310000222268.

The previous prime is 22310000222173. The next prime is 22310000222299. The reversal of 22310000222269 is 96222200001322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15334390287225 + 6975609935044 = 3915915^2 + 2641138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22310000222269 is a prime.

It is a super-3 number, since 3×223100002222693 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22310000222269.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22310000222299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155000111134 + 11155000111135.

It is an arithmetic number, because the mean of its divisors is an integer number (11155000111135).

Almost surely, 222310000222269 is an apocalyptic number.

It is an amenable number.

22310000222269 is a deficient number, since it is larger than the sum of its proper divisors (1).

22310000222269 is an equidigital number, since it uses as much as digits as its factorization.

22310000222269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 22310000222269 in words is "twenty-two trillion, three hundred ten billion, two hundred twenty-two thousand, two hundred sixty-nine".