Search a number
-
+
22617222221681 is a prime number
BaseRepresentation
bin1010010010001111110110…
…11111110000111101110001
32222002012000002210220212022
411021013323133300331301
510431030032342043211
6120034113005241225
74523016564604553
oct511077337607561
988065002726768
1022617222221681
11722aa0135047a
122653451b63215
13c80a44533709
145829723994d3
152934d4b51bdb
hex1491fb7f0f71

22617222221681 has 2 divisors, whose sum is σ = 22617222221682. Its totient is φ = 22617222221680.

The previous prime is 22617222221623. The next prime is 22617222221701. The reversal of 22617222221681 is 18612222271622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12251295034225 + 10365927187456 = 3500185^2 + 3219616^2 .

It is a cyclic number.

It is not a de Polignac number, because 22617222221681 - 214 = 22617222205297 is a prime.

It is a super-2 number, since 2×226172222216812 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22617222221611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11308611110840 + 11308611110841.

It is an arithmetic number, because the mean of its divisors is an integer number (11308611110841).

Almost surely, 222617222221681 is an apocalyptic number.

It is an amenable number.

22617222221681 is a deficient number, since it is larger than the sum of its proper divisors (1).

22617222221681 is an equidigital number, since it uses as much as digits as its factorization.

22617222221681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 258048, while the sum is 44.

The spelling of 22617222221681 in words is "twenty-two trillion, six hundred seventeen billion, two hundred twenty-two million, two hundred twenty-one thousand, six hundred eighty-one".