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12208224 = 253737491
BaseRepresentation
bin101110100100…
…100001100000
3211222020112110
4232210201200
511111130344
61113355320
7205524330
oct56444140
924866473
1012208224
116989246
124108b40
1326b5a02
14189b0c0
1511123b9
hexba4860

12208224 has 96 divisors (see below), whose sum is σ = 37691136. Its totient is φ = 3386880.

The previous prime is 12208213. The next prime is 12208247. The reversal of 12208224 is 42280221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12208224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24619 + ... + 25109.

It is an arithmetic number, because the mean of its divisors is an integer number (392616).

Almost surely, 212208224 is an apocalyptic number.

12208224 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 12208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18845568).

12208224 is an abundant number, since it is smaller than the sum of its proper divisors (25482912).

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

12208224 is a wasteful number, since it uses less digits than its factorization.

12208224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12208224 is about 3494.0269031592. The cubic root of 12208224 is about 230.2594677335.

Adding to 12208224 its reverse (42280221), we get a palindrome (54488445).

The spelling of 12208224 in words is "twelve million, two hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 491 518 592 672 777 888 982 1036 1184 1473 1554 1776 1964 2072 2946 3108 3437 3552 3928 4144 5892 6216 6874 7856 8288 10311 11784 12432 13748 15712 18167 20622 23568 24864 27496 36334 41244 47136 54501 54992 72668 82488 109002 109984 127169 145336 164976 218004 254338 290672 329952 381507 436008 508676 581344 763014 872016 1017352 1526028 1744032 2034704 3052056 4069408 6104112 12208224