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14212352 = 287211103
BaseRepresentation
bin110110001101…
…110100000000
3222202001200102
4312031310000
512114243402
61224341532
7231542300
oct66156400
928661612
1014212352
118027a50
1249148a8
132c37c9b
141c5d600
1513ab102
hexd8dd00

14212352 has 108 divisors (see below), whose sum is σ = 36350496. Its totient is φ = 5483520.

The previous prime is 14212351. The next prime is 14212369. The reversal of 14212352 is 25321241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212351) 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, 137933 + ... + 138035.

Almost surely, 214212352 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 14212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175248).

14212352 is an abundant number, since it is smaller than the sum of its proper divisors (22138144).

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

14212352 is a wasteful number, since it uses less digits than its factorization.

14212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 14212352 is about 3769.9273202543. The cubic root of 14212352 is about 242.2266846650.

Adding to 14212352 its reverse (25321241), we get a palindrome (39533593).

Subtracting 14212352 from its reverse (25321241), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1421 and 2352, that added together give a palindrome (3773).

The spelling of 14212352 in words is "fourteen million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 103 112 128 154 176 196 206 224 256 308 352 392 412 448 539 616 704 721 784 824 896 1078 1133 1232 1408 1442 1568 1648 1792 2156 2266 2464 2816 2884 3136 3296 4312 4532 4928 5047 5768 6272 6592 7931 8624 9064 9856 10094 11536 12544 13184 15862 17248 18128 19712 20188 23072 26368 31724 34496 36256 40376 46144 55517 63448 68992 72512 80752 92288 111034 126896 137984 145024 161504 184576 222068 253792 290048 323008 444136 507584 646016 888272 1015168 1292032 1776544 2030336 3553088 7106176 14212352