Search a number
-
+
22401369 = 322985829
BaseRepresentation
bin101010101110…
…1000101011001
31120011002220100
41111131011121
521213320434
62120050013
7361260054
oct125350531
946132810
1022401369
1111710531
127603909
134844463
142d91a9b
151e77699
hex155d159

22401369 has 12 divisors (see below), whose sum is σ = 33473700. Its totient is φ = 14419104.

The previous prime is 22401349. The next prime is 22401371. The reversal of 22401369 is 96310422.

It can be written as a sum of positive squares in 2 ways, for example, as 4862025 + 17539344 = 2205^2 + 4188^2 .

It is not a de Polignac number, because 22401369 - 212 = 22397273 is a prime.

It is a super-2 number, since 2×224013692 = 1003642666148322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22401349) 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, 42654 + ... + 43175.

It is an arithmetic number, because the mean of its divisors is an integer number (2789475).

Almost surely, 222401369 is an apocalyptic number.

22401369 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

22401369 is a deficient number, since it is larger than the sum of its proper divisors (11072331).

22401369 is a wasteful number, since it uses less digits than its factorization.

22401369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85864 (or 85861 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22401369 is about 4733.0084512918. The cubic root of 22401369 is about 281.8976918751.

The spelling of 22401369 in words is "twenty-two million, four hundred one thousand, three hundred sixty-nine".

Divisors: 1 3 9 29 87 261 85829 257487 772461 2489041 7467123 22401369