Search a number
-
+
2232200022321 = 337653139922013
BaseRepresentation
bin100000011110111001011…
…111010100100100110001
321220101200212011011002210
4200132321133110210301
5243033021201203241
64425243013202333
7320161666062123
oct40367137244461
97811625134083
102232200022321
117907417a0385
123007473303a9
13132659987199
147a079261213
153d0e829e316
hex207b97d4931

2232200022321 has 32 divisors (see below), whose sum is σ = 3063714796800. Its totient is φ = 1444597196544.

The previous prime is 2232200022313. The next prime is 2232200022389. The reversal of 2232200022321 is 1232200022322.

2232200022321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2232200022321 - 23 = 2232200022313 is a prime.

It is a super-5 number, since 5×22322000223215 (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (2232200022301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101392711 + ... + 101414723.

It is an arithmetic number, because the mean of its divisors is an integer number (95741087400).

Almost surely, 22232200022321 is an apocalyptic number.

It is an amenable number.

2232200022321 is a deficient number, since it is larger than the sum of its proper divisors (831514774479).

2232200022321 is a wasteful number, since it uses less digits than its factorization.

2232200022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2232200022321 its reverse (1232200022322), we get a palindrome (3464400044643).

Subtracting from 2232200022321 its reverse (1232200022322), we obtain a palindrome (999999999999).

The spelling of 2232200022321 in words is "two trillion, two hundred thirty-two billion, two hundred million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 37 111 653 1399 1959 4197 22013 24161 51763 66039 72483 155289 814481 913547 2443443 2740641 14374489 30796187 33801239 43123467 92388561 101403717 531856093 1139458919 1595568279 3418376757 20109910111 60329730333 744066674107 2232200022321