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22205133 = 3223310589
BaseRepresentation
bin101010010110…
…1001011001101
31112210010201100
41110231023031
521141031013
62111533313
7356511666
oct124551315
945703640
1022205133
1111597055
12752a239
1347a6042
142d4036d
151e39473
hex152d2cd

22205133 has 12 divisors (see below), whose sum is σ = 32214780. Its totient is φ = 14738496.

The previous prime is 22205119. The next prime is 22205137. The reversal of 22205133 is 33150222.

It can be written as a sum of positive squares in 2 ways, for example, as 3697929 + 18507204 = 1923^2 + 4302^2 .

It is not a de Polignac number, because 22205133 - 25 = 22205101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205137) 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, 3198 + ... + 7391.

It is an arithmetic number, because the mean of its divisors is an integer number (2684565).

Almost surely, 222205133 is an apocalyptic number.

It is an amenable number.

22205133 is a deficient number, since it is larger than the sum of its proper divisors (10009647).

22205133 is a wasteful number, since it uses less digits than its factorization.

22205133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10825 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22205133 is about 4712.2322735621. The cubic root of 22205133 is about 281.0721352443.

Adding to 22205133 its reverse (33150222), we get a palindrome (55355355).

The spelling of 22205133 in words is "twenty-two million, two hundred five thousand, one hundred thirty-three".

Divisors: 1 3 9 233 699 2097 10589 31767 95301 2467237 7401711 22205133