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24222005 = 5312712
BaseRepresentation
bin101110001100…
…1100100110101
31200120121100022
41130121210311
522200101010
62223054525
7412612043
oct134314465
950517308
1024222005
1112744395
128141445
135031062
143307393
1521d6d55
hex1719935

24222005 has 18 divisors (see below), whose sum is σ = 30463254. Its totient is φ = 18488400.

The previous prime is 24221983. The next prime is 24222019. The reversal of 24222005 is 50022242.

24222005 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in only one way, i.e., 19377604 + 4844401 = 4402^2 + 2201^2 .

It is not a de Polignac number, because 24222005 - 212 = 24217909 is a prime.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 341120 + ... + 341190.

It is an arithmetic number, because the mean of its divisors is an integer number (1692403).

Almost surely, 224222005 is an apocalyptic number.

It is an amenable number.

24222005 is a deficient number, since it is larger than the sum of its proper divisors (6241249).

24222005 is an frugal number, since it uses more digits than its factorization.

24222005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 24222005 is about 4921.5856184770. The cubic root of 24222005 is about 289.3365929338.

Multiplying 24222005 by its product of nonzero digits (320), we get a square (7751041600 = 880402).

Adding to 24222005 its reverse (50022242), we get a palindrome (74244247).

The spelling of 24222005 in words is "twenty-four million, two hundred twenty-two thousand, five".

Divisors: 1 5 31 71 155 355 961 2201 4805 5041 11005 25205 68231 156271 341155 781355 4844401 24222005