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22211137 = 133761757
BaseRepresentation
bin101010010111…
…0101001000001
31112210102221201
41110232221001
521141224022
62112021201
7356535334
oct124565101
945712851
1022211137
11115a0613
127531801
1347a89b0
142d4261b
151e3b127
hex152ea41

22211137 has 16 divisors (see below), whose sum is σ = 25001872. Its totient is φ = 19595520.

The previous prime is 22211131. The next prime is 22211141. The reversal of 22211137 is 73111222.

It can be written as a sum of positive squares in 8 ways, for example, as 968256 + 21242881 = 984^2 + 4609^2 .

It is a cyclic number.

It is not a de Polignac number, because 22211137 - 27 = 22211009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22211131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28963 + ... + 29719.

It is an arithmetic number, because the mean of its divisors is an integer number (1562617).

Almost surely, 222211137 is an apocalyptic number.

It is an amenable number.

22211137 is a deficient number, since it is larger than the sum of its proper divisors (2790735).

22211137 is a wasteful number, since it uses less digits than its factorization.

22211137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868.

The product of its digits is 168, while the sum is 19.

The square root of 22211137 is about 4712.8692958749. The cubic root of 22211137 is about 281.0974657993.

Adding to 22211137 its reverse (73111222), we get a palindrome (95322359).

The spelling of 22211137 in words is "twenty-two million, two hundred eleven thousand, one hundred thirty-seven".

Divisors: 1 13 37 61 481 757 793 2257 9841 28009 29341 46177 364117 600301 1708549 22211137