Search a number
-
+
22082717 = 292772749
BaseRepresentation
bin101010000111…
…1010010011101
31112112220210102
41110033102131
521123121332
62105150445
7355462046
oct124172235
945486712
1022082717
1111513088
12748b425
1347623c7
142d0b8cd
151e13062
hex150f49d

22082717 has 8 divisors (see below), whose sum is σ = 22935000. Its totient is φ = 21236544.

The previous prime is 22082707. The next prime is 22082743. The reversal of 22082717 is 71728022.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 22080601 = 46^2 + 4699^2 .

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 22082717 - 24 = 22082701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22082717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22082707) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6659 + ... + 9407.

It is an arithmetic number, because the mean of its divisors is an integer number (2866875).

Almost surely, 222082717 is an apocalyptic number.

It is an amenable number.

22082717 is a deficient number, since it is larger than the sum of its proper divisors (852283).

22082717 is a wasteful number, since it uses less digits than its factorization.

22082717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 22082717 is about 4699.2251488942. The cubic root of 22082717 is about 280.5546700506.

The spelling of 22082717 in words is "twenty-two million, eighty-two thousand, seven hundred seventeen".

Divisors: 1 29 277 2749 8033 79721 761473 22082717