Search a number
-
+
22322012013 = 3271861190391
BaseRepresentation
bin10100110010011111…
…101101111101101101
32010121122210200220200
4110302133231331231
5331203413341023
614130554104113
71420105654140
oct246237557555
963548720820
1022322012013
119515215014
1243ab71b039
132149788c42
14111a844057
158a9a39743
hex5327edf6d

22322012013 has 24 divisors (see below), whose sum is σ = 36869030016. Its totient is φ = 12748514400.

The previous prime is 22322011981. The next prime is 22322012021. The reversal of 22322012013 is 31021022322.

It is not a de Polignac number, because 22322012013 - 25 = 22322011981 is a prime.

It is a super-3 number, since 3×223220120133 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322012023) 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 23 ways as a sum of consecutive naturals, for example, 22048 + ... + 212438.

It is an arithmetic number, because the mean of its divisors is an integer number (1536209584).

Almost surely, 222322012013 is an apocalyptic number.

It is an amenable number.

22322012013 is a deficient number, since it is larger than the sum of its proper divisors (14547018003).

22322012013 is a wasteful number, since it uses less digits than its factorization.

22322012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192265 (or 192262 counting only the distinct ones).

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

Adding to 22322012013 its reverse (31021022322), we get a palindrome (53343034335).

The spelling of 22322012013 in words is "twenty-two billion, three hundred twenty-two million, twelve thousand, thirteen".

Divisors: 1 3 7 9 21 63 1861 5583 13027 16749 39081 117243 190391 571173 1332737 1713519 3998211 11994633 354317651 1062952953 2480223557 3188858859 7440670671 22322012013