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22252133 = 172372081
BaseRepresentation
bin101010011100…
…0101001100101
31112212112012002
41110320221211
521144032013
62112535045
7360066011
oct124705145
945775162
1022252133
11116193a2
127551485
1347c1557
142d53541
151e48358
hex1538a65

22252133 has 12 divisors (see below), whose sum is σ = 24288612. Its totient is φ = 20367360.

The previous prime is 22252127. The next prime is 22252147. The reversal of 22252133 is 33125222.

It can be written as a sum of positive squares in 6 ways, for example, as 4418404 + 17833729 = 2102^2 + 4223^2 .

It is not a de Polignac number, because 22252133 - 24 = 22252117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9653 + ... + 11733.

It is an arithmetic number, because the mean of its divisors is an integer number (2024051).

Almost surely, 222252133 is an apocalyptic number.

It is an amenable number.

22252133 is a deficient number, since it is larger than the sum of its proper divisors (2036479).

22252133 is a wasteful number, since it uses less digits than its factorization.

22252133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2135 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 22252133 is about 4717.2166581576. The cubic root of 22252133 is about 281.2703038511.

Adding to 22252133 its reverse (33125222), we get a palindrome (55377355).

The spelling of 22252133 in words is "twenty-two million, two hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 17 37 289 629 2081 10693 35377 76997 601409 1308949 22252133