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22532013 = 3473811
BaseRepresentation
bin101010111110…
…0111110101101
31120101202010000
41111330332231
521232011023
62122534513
7362343000
oct125747655
946352100
1022532013
111179a6a9
127667439
13488ba6a
142dc7537
151ea1243
hex157cfad

22532013 has 40 divisors (see below), whose sum is σ = 39300800. Its totient is φ = 12859560.

The previous prime is 22531991. The next prime is 22532017. The reversal of 22532013 is 31023522.

It is not a de Polignac number, because 22532013 - 25 = 22531981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22532017) 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 39 ways as a sum of consecutive naturals, for example, 27378 + ... + 28188.

It is an arithmetic number, because the mean of its divisors is an integer number (982520).

Almost surely, 222532013 is an apocalyptic number.

It is an amenable number.

22532013 is a deficient number, since it is larger than the sum of its proper divisors (16768787).

22532013 is an frugal number, since it uses more digits than its factorization.

22532013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22532013 is about 4746.7897572991. The cubic root of 22532013 is about 282.4446358208. Note that the first 3 decimals are identical.

Adding to 22532013 its reverse (31023522), we get a palindrome (53555535).

The spelling of 22532013 in words is "twenty-two million, five hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 811 1029 1323 2433 3087 3969 5677 7299 9261 17031 21897 27783 39739 51093 65691 119217 153279 278173 357651 459837 834519 1072953 2503557 3218859 7510671 22532013