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22768672 = 254316547
BaseRepresentation
bin101011011011…
…0110000100000
31120211202202011
41112312300200
521312044142
62132002304
7364346653
oct126666040
946752664
1022768672
1111941493
127760394
1349426b4
14304989a
151eeb417
hex15b6c20

22768672 has 24 divisors (see below), whose sum is σ = 45871056. Its totient is φ = 11118912.

The previous prime is 22768667. The next prime is 22768673. The reversal of 22768672 is 27686722.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22768673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6898 + ... + 9649.

It is an arithmetic number, because the mean of its divisors is an integer number (1911294).

Almost surely, 222768672 is an apocalyptic number.

It is an amenable number.

22768672 is an abundant number, since it is smaller than the sum of its proper divisors (23102384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22768672 is a wasteful number, since it uses less digits than its factorization.

22768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 16592 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 22768672 is about 4771.6529630726. The cubic root of 22768672 is about 283.4300544835.

The spelling of 22768672 in words is "twenty-two million, seven hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 16547 33094 66188 132376 264752 529504 711521 1423042 2846084 5692168 11384336 22768672