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22123313 = 415310181
BaseRepresentation
bin101010001100…
…1001100110001
31112121222110222
41110121030301
521130421223
62110102425
7356021312
oct124311461
945558428
1022123313
1111540633
1274aaa15
134777a24
142d1c609
151e200c8
hex1519331

22123313 has 8 divisors (see below), whose sum is σ = 23092776. Its totient is φ = 21174400.

The previous prime is 22123303. The next prime is 22123319. The reversal of 22123313 is 31332122.

It can be written as a sum of positive squares in 4 ways, for example, as 1620529 + 20502784 = 1273^2 + 4528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22123313 - 212 = 22119217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22123291 and 22123300.

It is not an unprimeable number, because it can be changed into a prime (22123319) 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 7 ways as a sum of consecutive naturals, for example, 2918 + ... + 7263.

It is an arithmetic number, because the mean of its divisors is an integer number (2886597).

Almost surely, 222123313 is an apocalyptic number.

It is an amenable number.

22123313 is a deficient number, since it is larger than the sum of its proper divisors (969463).

22123313 is a wasteful number, since it uses less digits than its factorization.

22123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10275.

The product of its digits is 216, while the sum is 17.

The square root of 22123313 is about 4703.5426010615. The cubic root of 22123313 is about 280.7264850380.

Adding to 22123313 its reverse (31332122), we get a palindrome (53455435).

The spelling of 22123313 in words is "twenty-two million, one hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 41 53 2173 10181 417421 539593 22123313