Search a number
-
+
22000222112261 is a prime number
BaseRepresentation
bin1010000000010010100110…
…11011001000101000000101
32212220012102022020211100212
411000021103123020220011
510340422423330043021
6114442432411445205
74430315004321401
oct500112333105005
985805368224325
1022000222112261
117012272924078
122573959a56805
13c377c5875083
14560b60408101
152824225d985b
hex1402536c8a05

22000222112261 has 2 divisors, whose sum is σ = 22000222112262. Its totient is φ = 22000222112260.

The previous prime is 22000222112249. The next prime is 22000222112287. The reversal of 22000222112261 is 16221122200022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17126304899236 + 4873917213025 = 4138394^2 + 2207695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22000222112261 is a prime.

It is a super-3 number, since 3×220002221122613 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22000222112861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000111056130 + 11000111056131.

It is an arithmetic number, because the mean of its divisors is an integer number (11000111056131).

Almost surely, 222000222112261 is an apocalyptic number.

It is an amenable number.

22000222112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000222112261 is an equidigital number, since it uses as much as digits as its factorization.

22000222112261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 22000222112261 its reverse (16221122200022), we get a palindrome (38221344312283).

The spelling of 22000222112261 in words is "twenty-two trillion, two hundred twenty-two million, one hundred twelve thousand, two hundred sixty-one".