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22035 = 3513113
BaseRepresentation
bin101011000010011
31010020010
411120103
51201120
6250003
7121146
oct53023
933203
1022035
1115612
1210903
13a050
14805d
1567e0
hex5613

22035 has 16 divisors (see below), whose sum is σ = 38304. Its totient is φ = 10752.

The previous prime is 22031. The next prime is 22037. The reversal of 22035 is 53022.

22035 = 352 + 362 + ... + 472.

It is not a de Polignac number, because 22035 - 22 = 22031 is a prime.

22035 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 22035.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22035.

It is not an unprimeable number, because it can be changed into a prime (22031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

222035 is an apocalyptic number.

22035 is a deficient number, since it is larger than the sum of its proper divisors (16269).

22035 is a wasteful number, since it uses less digits than its factorization.

22035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 22035 is about 148.4419078293. The cubic root of 22035 is about 28.0352447331.

Adding to 22035 its reverse (53022), we get a palindrome (75057).

The spelling of 22035 in words is "twenty-two thousand, thirty-five".

Divisors: 1 3 5 13 15 39 65 113 195 339 565 1469 1695 4407 7345 22035