Search a number
-
+
14505216 = 2831117101
BaseRepresentation
bin110111010101…
…010100000000
31000021221102020
4313111110000
512203131331
61234521440
7234202155
oct67252400
930257366
1014505216
118207a90
124a36280
13300b38b
141cd822c
151417c96
hexdd5500

14505216 has 144 divisors (see below), whose sum is σ = 45033408. Its totient is φ = 4096000.

The previous prime is 14505193. The next prime is 14505217. The reversal of 14505216 is 61250541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14505217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143566 + ... + 143666.

It is an arithmetic number, because the mean of its divisors is an integer number (312732).

Almost surely, 214505216 is an apocalyptic number.

14505216 is a gapful number since it is divisible by the number (16) 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 14505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516704).

14505216 is an abundant number, since it is smaller than the sum of its proper divisors (30528192).

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

14505216 is a wasteful number, since it uses less digits than its factorization.

14505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 14505216 is about 3808.5713857036. The cubic root of 14505216 is about 243.8791841191.

Adding to 14505216 its reverse (61250541), we get a palindrome (75755757).

It can be divided in two parts, 1450 and 5216, that added together give a palindrome (6666).

The spelling of 14505216 in words is "fourteen million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 101 102 128 132 136 176 187 192 202 204 256 264 272 303 352 374 384 404 408 528 544 561 606 704 748 768 808 816 1056 1088 1111 1122 1212 1408 1496 1616 1632 1717 2112 2176 2222 2244 2424 2816 2992 3232 3264 3333 3434 4224 4352 4444 4488 4848 5151 5984 6464 6528 6666 6868 8448 8888 8976 9696 10302 11968 12928 13056 13332 13736 17776 17952 18887 19392 20604 23936 25856 26664 27472 35552 35904 37774 38784 41208 47872 53328 54944 56661 71104 71808 75548 77568 82416 106656 109888 113322 142208 143616 151096 164832 213312 219776 226644 284416 302192 329664 426624 439552 453288 604384 659328 853248 906576 1208768 1318656 1813152 2417536 3626304 4835072 7252608 14505216