Search a number
-
+
22231300221 = 3213617330781
BaseRepresentation
bin10100101101000101…
…101011100001111101
32010101100010001201200
4110231011223201331
5331012203101341
614113553530113
71414624635234
oct245505534175
963340101650
1022231300221
119478a97999
124385273939
132133a48020
14110c78db1b
158a1abbdb6
hex52d16b87d

22231300221 has 24 divisors (see below), whose sum is σ = 34588748376. Its totient is φ = 13678139520.

The previous prime is 22231300181. The next prime is 22231300271. The reversal of 22231300221 is 12200313222.

It can be written as a sum of positive squares in 4 ways, for example, as 1978025625 + 20253274596 = 44475^2 + 142314^2 .

It is not a de Polignac number, because 22231300221 - 29 = 22231299709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22231300194 and 22231300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231300271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706851 + ... + 737631.

It is an arithmetic number, because the mean of its divisors is an integer number (1441197849).

Almost surely, 222231300221 is an apocalyptic number.

It is an amenable number.

22231300221 is a deficient number, since it is larger than the sum of its proper divisors (12357448155).

22231300221 is a wasteful number, since it uses less digits than its factorization.

22231300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36973 (or 36970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22231300221 its reverse (12200313222), we get a palindrome (34431613443).

The spelling of 22231300221 in words is "twenty-two billion, two hundred thirty-one million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 6173 18519 30781 55557 80249 92343 240747 277029 400153 722241 1200459 3601377 190011113 570033339 1710100017 2470144469 7410433407 22231300221