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12224224 = 251723977
BaseRepresentation
bin101110101000…
…011011100000
3212000001111001
4232220123200
511112133344
61114001344
7205622065
oct56503340
925001431
1012224224
11699a271
124116254
1326c008c
1418a2c6c
151116ed4
hexba86e0

12224224 has 48 divisors (see below), whose sum is σ = 26617248. Its totient is φ = 5496832.

The previous prime is 12224221. The next prime is 12224257. The reversal of 12224224 is 42242221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224221) 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 7 ways as a sum of consecutive naturals, for example, 12024 + ... + 13000.

It is an arithmetic number, because the mean of its divisors is an integer number (554526).

Almost surely, 212224224 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 12224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308624).

12224224 is an abundant number, since it is smaller than the sum of its proper divisors (14393024).

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

12224224 is a wasteful number, since it uses less digits than its factorization.

12224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its digits is 512, while the sum is 19.

The square root of 12224224 is about 3496.3157752125. The cubic root of 12224224 is about 230.3600158881.

Adding to 12224224 its reverse (42242221), we get a palindrome (54466445).

The spelling of 12224224 in words is "twelve million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 977 1564 1954 3128 3908 6256 7816 12512 15632 16609 22471 31264 33218 44942 66436 89884 132872 179768 265744 359536 382007 531488 719072 764014 1528028 3056056 6112112 12224224