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18244224 = 27335279
BaseRepresentation
bin100010110011…
…0001010000000
31021022220101000
41011212022000
514132303344
61451012000
7311034105
oct105461200
937286330
1018244224
11a331179
12613a000
133a1a1cb
1425ccaac
151905a69
hex1166280

18244224 has 64 divisors (see below), whose sum is σ = 53856000. Its totient is φ = 6080256.

The previous prime is 18244211. The next prime is 18244229. The reversal of 18244224 is 42244281.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18244229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 218244224 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 18244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928000).

18244224 is an abundant number, since it is smaller than the sum of its proper divisors (35611776).

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

18244224 is an equidigital number, since it uses as much as digits as its factorization.

18244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5284 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 18244224 is about 4271.3257894944. The cubic root of 18244224 is about 263.2540928415.

The spelling of 18244224 in words is "eighteen million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5279 10558 15837 21116 31674 42232 47511 63348 84464 95022 126696 142533 168928 190044 253392 285066 337856 380088 506784 570132 675712 760176 1013568 1140264 1520352 2027136 2280528 3040704 4561056 6081408 9122112 18244224