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19224128 = 267114783
BaseRepresentation
bin100100101010…
…1011001000000
31100011200112202
41021111121000
514410133003
61524012332
7322255010
oct111253100
940150482
1019224128
11a940410
1265310a8
133ca1231
1427a5c40
151a4b088
hex1255640

19224128 has 112 divisors (see below), whose sum is σ = 49158144. Its totient is φ = 7242240.

The previous prime is 19224103. The next prime is 19224133. The reversal of 19224128 is 82142291.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 19224128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231575 + ... + 231657.

It is an arithmetic number, because the mean of its divisors is an integer number (438912).

Almost surely, 219224128 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 19224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072).

19224128 is an abundant number, since it is smaller than the sum of its proper divisors (29934016).

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

19224128 is a wasteful number, since it uses less digits than its factorization.

19224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 19224128 is about 4384.5328143372. The cubic root of 19224128 is about 267.8853002899.

The spelling of 19224128 in words is "nineteen million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 83 88 94 112 154 166 176 188 224 308 329 332 352 376 448 517 581 616 658 664 704 752 913 1034 1162 1232 1316 1328 1504 1826 2068 2324 2464 2632 2656 3008 3619 3652 3901 4136 4648 4928 5264 5312 6391 7238 7304 7802 8272 9296 10528 12782 14476 14608 15604 16544 18592 21056 25564 27307 28952 29216 31208 33088 37184 42911 51128 54614 57904 58432 62416 85822 102256 109228 115808 124832 171644 204512 218456 231616 249664 300377 343288 409024 436912 600754 686576 873824 1201508 1373152 1747648 2403016 2746304 4806032 9612064 19224128