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22242321 = 3210124469
BaseRepresentation
bin101010011011…
…0010000010001
31112212000201200
41110312100101
521143223241
62112421413
7360025263
oct124662021
945760650
1022242321
1111611a92
127547869
1347b9c4a
142d4db33
151e454b6
hex1536411

22242321 has 12 divisors (see below), whose sum is σ = 32447220. Its totient is φ = 14680800.

The previous prime is 22242317. The next prime is 22242323. The reversal of 22242321 is 12324222.

22242321 is a `hidden beast` number, since 222 + 423 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13242321 + 9000000 = 3639^2 + 3000^2 .

It is not a de Polignac number, because 22242321 - 22 = 22242317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22242294 and 22242303.

It is not an unprimeable number, because it can be changed into a prime (22242323) 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, 11326 + ... + 13143.

It is an arithmetic number, because the mean of its divisors is an integer number (2703935).

Almost surely, 222242321 is an apocalyptic number.

It is an amenable number.

22242321 is a deficient number, since it is larger than the sum of its proper divisors (10204899).

22242321 is a wasteful number, since it uses less digits than its factorization.

22242321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24573 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 22242321 is about 4716.1765234139. The cubic root of 22242321 is about 281.2289560551.

Adding to 22242321 its reverse (12324222), we get a palindrome (34566543).

The spelling of 22242321 in words is "twenty-two million, two hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 101 303 909 24469 73407 220221 2471369 7414107 22242321