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14227248 = 2437223263
BaseRepresentation
bin110110010001…
…011100110000
3222202211010010
4312101130300
512120232443
61224534520
7231633600
oct66213460
928684103
1014227248
118038162
124921440
132c419b9
141c64c00
1513b0733
hexd91730

14227248 has 120 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 3873408.

The previous prime is 14227243. The next prime is 14227253. The reversal of 14227248 is 84272241.

It is an interprime number because it is at equal distance from previous prime (14227243) and next prime (14227253).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14227243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53965 + ... + 54227.

Almost surely, 214227248 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 14227248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

14227248 is an abundant number, since it is smaller than the sum of its proper divisors (30555600).

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

14227248 is a wasteful number, since it uses less digits than its factorization.

14227248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 14227248 is about 3771.9024377627. The cubic root of 14227248 is about 242.3112812384.

Adding to 14227248 its reverse (84272241), we get a palindrome (98499489).

The spelling of 14227248 in words is "fourteen million, two hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 263 276 294 322 336 368 392 483 526 552 588 644 784 789 966 1052 1104 1127 1176 1288 1578 1841 1932 2104 2254 2352 2576 3156 3381 3682 3864 4208 4508 5523 6049 6312 6762 7364 7728 9016 11046 12098 12624 12887 13524 14728 18032 18147 22092 24196 25774 27048 29456 36294 38661 42343 44184 48392 51548 54096 72588 77322 84686 88368 96784 103096 127029 145176 154644 169372 206192 254058 290352 296401 309288 338744 508116 592802 618576 677488 889203 1016232 1185604 1778406 2032464 2371208 3556812 4742416 7113624 14227248