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14217312 = 2532347137
BaseRepresentation
bin110110001111…
…000001100000
3222202022111010
4312033001200
512114423222
61224420520
7231562614
oct66170140
928668433
1014217312
11803074a
124917740
132c3a315
141c61344
1513ac80c
hexd8f060

14217312 has 96 divisors (see below), whose sum is σ = 40061952. Its totient is φ = 4404224.

The previous prime is 14217271. The next prime is 14217317. The reversal of 14217312 is 21371241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14217317) 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, 103708 + ... + 103844.

It is an arithmetic number, because the mean of its divisors is an integer number (417312).

Almost surely, 214217312 is an apocalyptic number.

14217312 is a gapful number since it is divisible by the number (12) 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 14217312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976).

14217312 is an abundant number, since it is smaller than the sum of its proper divisors (25844640).

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

14217312 is a wasteful number, since it uses less digits than its factorization.

14217312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 14217312 is about 3770.5851004851. The cubic root of 14217312 is about 242.2548597955.

Adding to 14217312 its reverse (21371241), we get a palindrome (35588553).

The spelling of 14217312 in words is "fourteen million, two hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 137 138 141 184 188 274 276 282 368 376 411 548 552 564 736 752 822 1081 1096 1104 1128 1504 1644 2162 2192 2208 2256 3151 3243 3288 4324 4384 4512 6302 6439 6486 6576 8648 9453 12604 12878 12972 13152 17296 18906 19317 25208 25756 25944 34592 37812 38634 50416 51512 51888 75624 77268 100832 103024 103776 148097 151248 154536 206048 296194 302496 309072 444291 592388 618144 888582 1184776 1777164 2369552 3554328 4739104 7108656 14217312