Search a number
-
+
22262031 = 3211224869
BaseRepresentation
bin101010011101…
…1000100001111
31112220000202200
41110323010033
521144341111
62113052543
7360136611
oct124730417
945800680
1022262031
1111625880
127557153
1347c5bcc
142d56db1
151e4b256
hex153b10f

22262031 has 12 divisors (see below), whose sum is σ = 35079720. Its totient is φ = 13492080.

The previous prime is 22261991. The next prime is 22262033. The reversal of 22262031 is 13026222.

It is not a de Polignac number, because 22262031 - 27 = 22261903 is a prime.

It is a super-2 number, since 2×222620312 = 991196048489922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22261995 and 22262013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22262033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112336 + ... + 112533.

It is an arithmetic number, because the mean of its divisors is an integer number (2923310).

Almost surely, 222262031 is an apocalyptic number.

22262031 is a deficient number, since it is larger than the sum of its proper divisors (12817689).

22262031 is a wasteful number, since it uses less digits than its factorization.

22262031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224886 (or 224883 counting only the distinct ones).

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

The square root of 22262031 is about 4718.2656771318. The cubic root of 22262031 is about 281.3120017381.

Adding to 22262031 its reverse (13026222), we get a palindrome (35288253).

The spelling of 22262031 in words is "twenty-two million, two hundred sixty-two thousand, thirty-one".

Divisors: 1 3 9 11 33 99 224869 674607 2023821 2473559 7420677 22262031