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12224448 = 2632191117
BaseRepresentation
bin101110101000…
…011111000000
3212000001210100
4232220133000
511112140243
61114002400
7205622535
oct56503700
925001710
1012224448
11699a455
124116400
1326c0202
1418a2d8c
1511170d3
hexba87c0

12224448 has 84 divisors (see below), whose sum is σ = 36916360. Its totient is φ = 3856896.

The previous prime is 12224413. The next prime is 12224473. The reversal of 12224448 is 84442221.

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

It is a plaindrome in base 10.

It is a congruent number.

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, 10386 + ... + 11502.

Almost surely, 212224448 is an apocalyptic number.

12224448 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 12224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458180).

12224448 is an abundant number, since it is smaller than the sum of its proper divisors (24691912).

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

12224448 is a wasteful number, since it uses less digits than its factorization.

12224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 12224448 is about 3496.3478087856. The cubic root of 12224448 is about 230.3614229394.

Adding to 12224448 its reverse (84442221), we get a palindrome (96666669).

The spelling of 12224448 in words is "twelve million, two hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1117 1216 1368 1824 2234 2736 3351 3648 4468 5472 6702 8936 10053 10944 13404 17872 20106 21223 26808 35744 40212 42446 53616 63669 71488 80424 84892 107232 127338 160848 169784 191007 214464 254676 321696 339568 382014 509352 643392 679136 764028 1018704 1358272 1528056 2037408 3056112 4074816 6112224 12224448