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22414041 = 32131759191
BaseRepresentation
bin101010110000…
…0001011011001
31120011202021200
41111200023121
521214222131
62120224413
7361342026
oct125401331
946152250
1022414041
111171a001
12760b109
13484a160
142d9654d
151e7b2e6
hex15602d9

22414041 has 48 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 12695040.

The previous prime is 22414033. The next prime is 22414079. The reversal of 22414041 is 14041422.

It is not a de Polignac number, because 22414041 - 23 = 22414033 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414001) 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 47 ways as a sum of consecutive naturals, for example, 117256 + ... + 117446.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 222414041 is an apocalyptic number.

It is an amenable number.

22414041 is a deficient number, since it is larger than the sum of its proper divisors (15325479).

22414041 is a wasteful number, since it uses less digits than its factorization.

22414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22414041 is about 4734.3469454614. The cubic root of 22414041 is about 281.9508364573.

Adding to 22414041 its reverse (14041422), we get a palindrome (36455463).

The spelling of 22414041 in words is "twenty-two million, four hundred fourteen thousand, forty-one".

Divisors: 1 3 9 13 17 39 51 59 117 153 177 191 221 531 573 663 767 1003 1719 1989 2301 2483 3009 3247 6903 7449 9027 9741 11269 13039 22347 29223 33807 39117 42211 101421 117351 126633 146497 191573 379899 439491 574719 1318473 1724157 2490449 7471347 22414041