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14202216 = 2334731101
BaseRepresentation
bin110110001011…
…010101101000
3222201112210000
4312023111220
512113432331
61224223000
7231500610
oct66132550
928645700
1014202216
118020376
12490aa60
132c334a2
141c59a40
1513a80e6
hexd8b568

14202216 has 160 divisors (see below), whose sum is σ = 47393280. Its totient is φ = 3888000.

The previous prime is 14202211. The next prime is 14202229. The reversal of 14202216 is 61220241.

14202216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14202211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140566 + ... + 140666.

It is an arithmetic number, because the mean of its divisors is an integer number (296208).

Almost surely, 214202216 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 14202216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696640).

14202216 is an abundant number, since it is smaller than the sum of its proper divisors (33191064).

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

14202216 is a wasteful number, since it uses less digits than its factorization.

14202216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14202216 is about 3768.5827574832. The cubic root of 14202216 is about 242.1690870302.

Adding to 14202216 its reverse (61220241), we get a palindrome (75422457).

The spelling of 14202216 in words is "fourteen million, two hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 101 108 124 126 162 168 186 189 202 216 217 248 252 279 303 324 372 378 404 434 504 558 567 606 648 651 707 744 756 808 837 868 909 1116 1134 1212 1302 1414 1512 1674 1736 1818 1953 2121 2232 2268 2424 2511 2604 2727 2828 3131 3348 3636 3906 4242 4536 5022 5208 5454 5656 5859 6262 6363 6696 7272 7812 8181 8484 9393 10044 10908 11718 12524 12726 15624 16362 16968 17577 18786 19089 20088 21816 21917 23436 25048 25452 28179 32724 35154 37572 38178 43834 46872 50904 56358 57267 65448 65751 70308 75144 76356 84537 87668 112716 114534 131502 140616 152712 169074 175336 197253 225432 229068 253611 263004 338148 394506 458136 507222 526008 591759 676296 789012 1014444 1183518 1578024 1775277 2028888 2367036 3550554 4734072 7101108 14202216