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22130320 = 245276629
BaseRepresentation
bin101010001101…
…0111010010000
31112122100002111
41110122322100
521131132240
62110155104
7356050612
oct124327220
945570074
1022130320
1111545923
1274b2a94
13477ac84
142d20db2
151e221ea
hex151ae90

22130320 has 20 divisors (see below), whose sum is σ = 51453180. Its totient is φ = 8852096.

The previous prime is 22130293. The next prime is 22130321. The reversal of 22130320 is 2303122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8202496 + 13927824 = 2864^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 22130320.

It is not an unprimeable number, because it can be changed into a prime (22130321) 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 3 ways as a sum of consecutive naturals, for example, 138235 + ... + 138394.

It is an arithmetic number, because the mean of its divisors is an integer number (2572659).

Almost surely, 222130320 is an apocalyptic number.

22130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22130320 is an abundant number, since it is smaller than the sum of its proper divisors (29322860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22130320 is a wasteful number, since it uses less digits than its factorization.

22130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276642 (or 276636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 22130320 is about 4704.2874061860. The cubic root of 22130320 is about 280.7561195816.

Adding to 22130320 its reverse (2303122), we get a palindrome (24433442).

The spelling of 22130320 in words is "twenty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 276629 553258 1106516 1383145 2213032 2766290 4426064 5532580 11065160 22130320