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22534101 = 3219312973
BaseRepresentation
bin101010111110…
…1011111010101
31120101211222100
41111331133111
521232042401
62122552313
7362352042
oct125753725
946354870
1022534101
11117a1227
127668699
13488c9b5
142dc81c9
151ea1b86
hex157d7d5

22534101 has 12 divisors (see below), whose sum is σ = 32720428. Its totient is φ = 14943744.

The previous prime is 22534097. The next prime is 22534111. The reversal of 22534101 is 10143522.

22534101 is a `hidden beast` number, since 2 + 253 + 410 + 1 = 666.

22534101 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 2 ways, for example, as 1822500 + 20711601 = 1350^2 + 4551^2 .

It is not a de Polignac number, because 22534101 - 22 = 22534097 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22534111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4750 + ... + 8223.

Almost surely, 222534101 is an apocalyptic number.

It is an amenable number.

22534101 is a deficient number, since it is larger than the sum of its proper divisors (10186327).

22534101 is a wasteful number, since it uses less digits than its factorization.

22534101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22534101 is about 4747.0096903208. The cubic root of 22534101 is about 282.4533600921.

Adding to 22534101 its reverse (10143522), we get a palindrome (32677623).

The spelling of 22534101 in words is "twenty-two million, five hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 193 579 1737 12973 38919 116757 2503789 7511367 22534101