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22638213 = 32131811069
BaseRepresentation
bin101011001011…
…0111010000101
31120121010210100
41112112322011
521243410323
62125114313
7363264423
oct126267205
946533710
1022638213
1111862474
1276b8999
1348c81c0
143014113
151ec2943
hex1596e85

22638213 has 24 divisors (see below), whose sum is σ = 35442680. Its totient is φ = 13841280.

The previous prime is 22638211. The next prime is 22638227. The reversal of 22638213 is 31283622.

22638213 is a `hidden beast` number, since 2 + 2 + 638 + 21 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 567009 + 22071204 = 753^2 + 4698^2 .

It is not a de Polignac number, because 22638213 - 21 = 22638211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22638211) 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 23 ways as a sum of consecutive naturals, for example, 20643 + ... + 21711.

Almost surely, 222638213 is an apocalyptic number.

It is an amenable number.

22638213 is a deficient number, since it is larger than the sum of its proper divisors (12804467).

22638213 is a wasteful number, since it uses less digits than its factorization.

22638213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1266 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22638213 is about 4757.9631146111. The cubic root of 22638213 is about 282.8876886642.

The spelling of 22638213 in words is "twenty-two million, six hundred thirty-eight thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 181 543 1069 1629 2353 3207 7059 9621 13897 21177 41691 125073 193489 580467 1741401 2515357 7546071 22638213