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14233248 = 253273677
BaseRepresentation
bin110110010010…
…111010100000
3222210010100100
4312102322200
512120430443
61225022400
7231660231
oct66227240
928703310
1014233248
118041717
124924a00
132c44653
141c67088
1513b23d3
hexd92ea0

14233248 has 72 divisors (see below), whose sum is σ = 41090868. Its totient is φ = 4672512.

The previous prime is 14233237. The next prime is 14233253. The reversal of 14233248 is 84233241.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 2039184 = 3492^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20686 + ... + 21362.

Almost surely, 214233248 is an apocalyptic number.

14233248 is a gapful number since it is divisible by the number (18) 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 14233248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20545434).

14233248 is an abundant number, since it is smaller than the sum of its proper divisors (26857620).

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

14233248 is a wasteful number, since it uses less digits than its factorization.

14233248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 14233248 is about 3772.6977085370. The cubic root of 14233248 is about 242.3453394380.

Adding to 14233248 its reverse (84233241), we get a palindrome (98466489).

The spelling of 14233248 in words is "fourteen million, two hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 677 876 1168 1314 1354 1752 2031 2336 2628 2708 3504 4062 5256 5416 6093 7008 8124 10512 10832 12186 16248 21024 21664 24372 32496 48744 49421 64992 97488 98842 148263 194976 197684 296526 395368 444789 593052 790736 889578 1186104 1581472 1779156 2372208 3558312 4744416 7116624 14233248