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22412672 = 27232331
BaseRepresentation
bin101010101111…
…1110110000000
31120011200101222
41111133312000
521214201142
62120214212
7361335032
oct125376600
946150358
1022412672
1111718a77
12760a368
134849649
142d95c52
151e7abd2
hex155fd80

22412672 has 48 divisors (see below), whose sum is σ = 46816980. Its totient is φ = 10686720.

The previous prime is 22412671. The next prime is 22412701. The reversal of 22412672 is 27621422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412671) 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 5 ways as a sum of consecutive naturals, for example, 67547 + ... + 67877.

Almost surely, 222412672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408490).

22412672 is an abundant number, since it is smaller than the sum of its proper divisors (24404308).

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

22412672 is an equidigital number, since it uses as much as digits as its factorization.

22412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 356 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 22412672 is about 4734.2023615388. The cubic root of 22412672 is about 281.9450960295.

It can be divided in two parts, 2241 and 2672, that added together give a cube (4913 = 173).

The spelling of 22412672 in words is "twenty-two million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 331 368 529 662 736 1058 1324 1472 2116 2648 2944 4232 5296 7613 8464 10592 15226 16928 21184 30452 33856 42368 60904 67712 121808 175099 243616 350198 487232 700396 974464 1400792 2801584 5603168 11206336 22412672