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12224256 = 283111447
BaseRepresentation
bin101110101000…
…011100000000
3212000001112020
4232220130000
511112134011
61114001440
7205622142
oct56503400
925001466
1012224256
11699a2a0
124116280
1326c00b5
1418a2c92
151117006
hexba8700

12224256 has 72 divisors (see below), whose sum is σ = 35516544. Its totient is φ = 3701760.

The previous prime is 12224221. The next prime is 12224257. The reversal of 12224256 is 65242221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224257) 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, 7725 + ... + 9171.

Almost surely, 212224256 is an apocalyptic number.

12224256 is a gapful number since it is divisible by the number (16) 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 12224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758272).

12224256 is an abundant number, since it is smaller than the sum of its proper divisors (23292288).

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

12224256 is a wasteful number, since it uses less digits than its factorization.

12224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1463 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 12224256 is about 3496.3203514552. The cubic root of 12224256 is about 230.3602168965.

Adding to 12224256 its reverse (65242221), we get a palindrome (77466477).

The spelling of 12224256 in words is "twelve million, two hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 1447 2112 2816 2894 4224 4341 5788 8448 8682 11576 15917 17364 23152 31834 34728 46304 47751 63668 69456 92608 95502 127336 138912 185216 191004 254672 277824 370432 382008 509344 555648 764016 1018688 1111296 1528032 2037376 3056064 4074752 6112128 12224256