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18222048 = 25321331157
BaseRepresentation
bin100010110000…
…0101111100000
31021021202221200
41011200233200
514131101143
61450321200
7310612335
oct105405740
937252850
1018222048
11a316549
126129200
133a100a0
1425c498c
1518ee1d3
hex1160be0

18222048 has 144 divisors (see below), whose sum is σ = 57972096. Its totient is φ = 5391360.

The previous prime is 18222047. The next prime is 18222053. The reversal of 18222048 is 84022281.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18222047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115986 + ... + 116142.

It is an arithmetic number, because the mean of its divisors is an integer number (402584).

Almost surely, 218222048 is an apocalyptic number.

18222048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986048).

18222048 is an abundant number, since it is smaller than the sum of its proper divisors (39750048).

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

18222048 is a wasteful number, since it uses less digits than its factorization.

18222048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18222048 is about 4268.7290848682. The cubic root of 18222048 is about 263.1473871117.

The spelling of 18222048 in words is "eighteen million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 157 186 208 234 248 279 288 312 314 372 403 416 468 471 496 558 624 628 744 806 936 942 992 1116 1209 1248 1256 1413 1488 1612 1872 1884 2041 2232 2418 2512 2826 2976 3224 3627 3744 3768 4082 4464 4836 4867 5024 5652 6123 6448 7254 7536 8164 8928 9672 9734 11304 12246 12896 14508 14601 15072 16328 18369 19344 19468 22608 24492 29016 29202 32656 36738 38688 38936 43803 45216 48984 58032 58404 63271 65312 73476 77872 87606 97968 116064 116808 126542 146952 155744 175212 189813 195936 233616 253084 293904 350424 379626 467232 506168 569439 587808 700848 759252 1012336 1138878 1401696 1518504 2024672 2277756 3037008 4555512 6074016 9111024 18222048