Search a number
-
+
422033428881 = 3283226092
BaseRepresentation
bin1100010010000110010…
…01110001000110010001
31111100100020100112021100
412021003021301012101
523403311024211011
6521513545015013
742330244646001
oct6110311610621
91440306315240
10422033428881
11152a8a960659
1269962184469
1330a4a395c1c
14165d8566001
15aea0e2bd56
hex6243271191

422033428881 has 27 divisors (see below), whose sum is σ = 617273549659. Its totient is φ = 277859251392.

The previous prime is 422033428847. The next prime is 422033428903. The reversal of 422033428881 is 188824330224.

The square root of 422033428881 is 649641.

It is a perfect power (a square), and thus also a powerful number.

422033428881 is a `hidden beast` number, since 4 + 220 + 3 + 342 + 8 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202897094481 + 219136334400 = 450441^2 + 468120^2 .

It is not a de Polignac number, because 422033428881 - 217 = 422033297809 is a prime.

It is a super-2 number, since 2×4220334288812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422033428181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161759305 + ... + 161761913.

Almost surely, 2422033428881 is an apocalyptic number.

422033428881 is the 649641-st square number.

422033428881 is the 324821-st centered octagonal number.

It is an amenable number.

422033428881 is a deficient number, since it is larger than the sum of its proper divisors (195240120778).

422033428881 is an frugal number, since it uses more digits than its factorization.

422033428881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 422033428881 in words is "four hundred twenty-two billion, thirty-three million, four hundred twenty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 83 249 747 2609 6889 7827 20667 23481 62001 216547 649641 1948923 6806881 17973401 20420643 53920203 61261929 161760609 564971123 1694913369 5084740107 46892603209 140677809627 422033428881