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14522148 = 22321761389
BaseRepresentation
bin110111011001…
…011100100100
31000022210122100
4313121130210
512204202043
61235132100
7234302424
oct67313444
930283570
1014522148
118219783
124a44030
133015cb4
141d00484
15141ccd3
hexdd9724

14522148 has 72 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 4469760.

The previous prime is 14522129. The next prime is 14522149. The reversal of 14522148 is 84122541.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 14379264 = 378^2 + 3792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14522149) 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 23 ways as a sum of consecutive naturals, for example, 37138 + ... + 37526.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 214522148 is an apocalyptic number.

14522148 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 14522148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

14522148 is an abundant number, since it is smaller than the sum of its proper divisors (25084692).

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

14522148 is a wasteful number, since it uses less digits than its factorization.

14522148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 14522148 is about 3810.7936181326. The cubic root of 14522148 is about 243.9740409542.

Adding to 14522148 its reverse (84122541), we get a palindrome (98644689).

It can be divided in two parts, 1452 and 2148, that added together give a square (3600 = 602).

The spelling of 14522148 in words is "fourteen million, five hundred twenty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 389 549 612 732 778 1037 1098 1167 1556 2074 2196 2334 3111 3501 4148 4668 6222 6613 7002 9333 12444 13226 14004 18666 19839 23729 26452 37332 39678 47458 59517 71187 79356 94916 119034 142374 213561 238068 284748 403393 427122 806786 854244 1210179 1613572 2420358 3630537 4840716 7261074 14522148