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13300224 = 29371237
BaseRepresentation
bin110010101111…
…001000000000
3221000201110220
4302233020000
511401101344
61153023040
7221023110
oct62571000
927021426
1013300224
117564723
124554a80
1329a8a72
141aa3040
15127ac19
hexcaf200

13300224 has 80 divisors (see below), whose sum is σ = 40527168. Its totient is φ = 3796992.

The previous prime is 13300223. The next prime is 13300253. The reversal of 13300224 is 42200331.

It is not an unprimeable number, because it can be changed into a prime (13300223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10134 + ... + 11370.

Almost surely, 213300224 is an apocalyptic number.

13300224 is a gapful number since it is divisible by the number (14) 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 13300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263584).

13300224 is an abundant number, since it is smaller than the sum of its proper divisors (27226944).

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

13300224 is an equidigital number, since it uses as much as digits as its factorization.

13300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13300224 is about 3646.9472165086. The cubic root of 13300224 is about 236.9297803328.

Adding to 13300224 its reverse (42200331), we get a palindrome (55500555).

The spelling of 13300224 in words is "thirteen million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1237 1344 1536 1792 2474 2688 3584 3711 4948 5376 7422 8659 9896 10752 14844 17318 19792 25977 29688 34636 39584 51954 59376 69272 79168 103908 118752 138544 158336 207816 237504 277088 316672 415632 475008 554176 633344 831264 950016 1108352 1662528 1900032 2216704 3325056 4433408 6650112 13300224