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22385005 = 517389677
BaseRepresentation
bin101010101100…
…1000101101101
31120010021110021
41111121011231
521212310010
62115442141
7361161256
oct125310555
946107407
1022385005
11116aa205
1275b6351
134839b86
142d89b2d
151e728da
hex155916d

22385005 has 16 divisors (see below), whose sum is σ = 28557360. Its totient is φ = 16786432.

The previous prime is 22384997. The next prime is 22385053. The reversal of 22385005 is 50058322.

It can be written as a sum of positive squares in 8 ways, for example, as 1855044 + 20529961 = 1362^2 + 4531^2 .

It is a cyclic number.

It is not a de Polignac number, because 22385005 - 23 = 22384997 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 32727 + ... + 33403.

It is an arithmetic number, because the mean of its divisors is an integer number (1784835).

Almost surely, 222385005 is an apocalyptic number.

It is an amenable number.

22385005 is a deficient number, since it is larger than the sum of its proper divisors (6172355).

22385005 is a wasteful number, since it uses less digits than its factorization.

22385005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 22385005 is about 4731.2794252718. The cubic root of 22385005 is about 281.8290339056.

The spelling of 22385005 in words is "twenty-two million, three hundred eighty-five thousand, five".

Divisors: 1 5 17 85 389 677 1945 3385 6613 11509 33065 57545 263353 1316765 4477001 22385005