Search a number
-
+
3222344422131 = 319236313895291
BaseRepresentation
bin101110111001000010101…
…100011101001011110011
3102102001102201112012202120
4232321002230131023303
5410243330133002011
610504154040045323
7451543461442662
oct56710254351363
912361381465676
103222344422131
111032652468a4a
12440618763843
131a4b34153423
14b1d687b2dd9
1558c4967ca06
hex2ee42b1d2f3

3222344422131 has 32 divisors (see below), whose sum is σ = 4726703124480. Its totient is φ = 1943593898400.

The previous prime is 3222344422123. The next prime is 3222344422139. The reversal of 3222344422131 is 1312244432223.

It is a happy number.

3222344422131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3222344422123) and next prime (3222344422139).

It is not a de Polignac number, because 3222344422131 - 23 = 3222344422123 is a prime.

It is a super-2 number, since 2×32223444221312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3222344422092 and 3222344422101.

It is not an unprimeable number, because it can be changed into a prime (3222344422139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120405 + ... + 2774886.

It is an arithmetic number, because the mean of its divisors is an integer number (147709472640).

Almost surely, 23222344422131 is an apocalyptic number.

3222344422131 is a deficient number, since it is larger than the sum of its proper divisors (1504358702349).

3222344422131 is a wasteful number, since it uses less digits than its factorization.

3222344422131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895967.

The product of its digits is 55296, while the sum is 33.

Adding to 3222344422131 its reverse (1312244432223), we get a palindrome (4534588854354).

The spelling of 3222344422131 in words is "three trillion, two hundred twenty-two billion, three hundred forty-four million, four hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 19 23 57 69 437 631 1311 1893 11989 14513 35967 43539 275747 827241 3895291 11685873 74010529 89591693 222031587 268775079 1702242167 2457928621 5106726501 7373785863 46700643799 56532358283 140101931397 169597074849 1074114807377 3222344422131