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14500224 = 273241307
BaseRepresentation
bin110111010100…
…000110000000
31000021200120100
4313110012000
512203001344
61234442400
7234151464
oct67240600
930250510
1014500224
118204262
124a33400
13300901b
141cd64a4
151416569
hexdd4180

14500224 has 96 divisors (see below), whose sum is σ = 42882840. Its totient is φ = 4700160.

The previous prime is 14500223. The next prime is 14500271. The reversal of 14500224 is 42200541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14500197 and 14500206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14500223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47079 + ... + 47385.

Almost surely, 214500224 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 14500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441420).

14500224 is an abundant number, since it is smaller than the sum of its proper divisors (28382616).

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

14500224 is a wasteful number, since it uses less digits than its factorization.

14500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14500224 is about 3807.9159654593. The cubic root of 14500224 is about 243.8512037343.

Adding to 14500224 its reverse (42200541), we get a palindrome (56700765).

The spelling of 14500224 in words is "fourteen million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 307 328 369 384 492 576 614 656 738 921 984 1152 1228 1312 1476 1842 1968 2456 2624 2763 2952 3684 3936 4912 5248 5526 5904 7368 7872 9824 11052 11808 12587 14736 15744 19648 22104 23616 25174 29472 37761 39296 44208 47232 50348 58944 75522 88416 100696 113283 117888 151044 176832 201392 226566 302088 353664 402784 453132 604176 805568 906264 1208352 1611136 1812528 2416704 3625056 4833408 7250112 14500224