Search a number
-
+
22311104022 = 233413168593
BaseRepresentation
bin10100110001110110…
…000110111000010110
32010120220021111222000
4110301312012320112
5331143120312042
614125524220130
71416614153334
oct246166067026
963526244860
1022311104022
11950a044749
1243a7b3a646
132147439ccc
141119204b54
158a8ad274c
hex531d86e16

22311104022 has 16 divisors (see below), whose sum is σ = 49580231280. Its totient is φ = 7437034656.

The previous prime is 22311104021. The next prime is 22311104047. The reversal of 22311104022 is 22040111322.

It is a happy number.

It is a super-3 number, since 3×223111040223 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22311103986 and 22311104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22311104021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206584243 + ... + 206584350.

It is an arithmetic number, because the mean of its divisors is an integer number (3098764455).

Almost surely, 222311104022 is an apocalyptic number.

22311104022 is an abundant number, since it is smaller than the sum of its proper divisors (27269127258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22311104022 is a wasteful number, since it uses less digits than its factorization.

22311104022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413168604 (or 413168598 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22311104022 its reverse (22040111322), we get a palindrome (44351215344).

The spelling of 22311104022 in words is "twenty-two billion, three hundred eleven million, one hundred four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 413168593 826337186 1239505779 2479011558 3718517337 7437034674 11155552011 22311104022