Search a number
-
+
2232232313213 = 73592366937529
BaseRepresentation
bin100000011110111011011…
…010100000000101111101
321220101210002220200212202
4200132323122200011331
5243033102433010323
64425250125241245
7320162540411510
oct40367332400575
97811702820782
102232232313213
11790758a45a71
12300756103225
13132663581b16
147a07d668d77
153d0eb02bd28
hex207bb6a017d

2232232313213 has 16 divisors (see below), whose sum is σ = 2558405088000. Its totient is φ = 1907880888192.

The previous prime is 2232232313197. The next prime is 2232232313231. The reversal of 2232232313213 is 3123132322322.

2232232313213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2232232313213 - 24 = 2232232313197 is a prime.

It is a super-3 number, since 3×22322323132133 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232232313263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59461433 + ... + 59498961.

It is an arithmetic number, because the mean of its divisors is an integer number (159900318000).

Almost surely, 22232232313213 is an apocalyptic number.

It is an amenable number.

2232232313213 is a deficient number, since it is larger than the sum of its proper divisors (326172774787).

2232232313213 is a wasteful number, since it uses less digits than its factorization.

2232232313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61564.

The product of its digits is 15552, while the sum is 29.

Adding to 2232232313213 its reverse (3123132322322), we get a palindrome (5355364635535).

The spelling of 2232232313213 in words is "two trillion, two hundred thirty-two billion, two hundred thirty-two million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 7 359 2513 23669 37529 165683 262703 8497171 13472911 59480197 94310377 888273901 6217917307 318890330459 2232232313213