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22755328 = 21141271
BaseRepresentation
bin101011011001…
…1100000000000
31120211002102221
41112303200000
521311132303
62131420424
7364263031
oct126634000
946732387
1022755328
1111932462
127754714
1349395bb
143044a88
151ee74bd
hex15b3800

22755328 has 48 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 11059200.

The previous prime is 22755323. The next prime is 22755361. The reversal of 22755328 is 82355722.

It is a junction number, because it is equal to n+sod(n) for n = 22755293 and 22755302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22755323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83833 + ... + 84103.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 222755328 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 22755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

22755328 is an abundant number, since it is smaller than the sum of its proper divisors (24025952).

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

22755328 is an equidigital number, since it uses as much as digits as its factorization.

22755328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 22755328 is about 4770.2545005482. The cubic root of 22755328 is about 283.3746738602.

It can be divided in two parts, 227 and 55328, that added together give a palindrome (55555).

The spelling of 22755328 in words is "twenty-two million, seven hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 271 328 512 542 656 1024 1084 1312 2048 2168 2624 4336 5248 8672 10496 11111 17344 20992 22222 34688 41984 44444 69376 83968 88888 138752 177776 277504 355552 555008 711104 1422208 2844416 5688832 11377664 22755328