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12224000 = 2953191
BaseRepresentation
bin101110101000…
…011000000000
3212000001011202
4232220120000
511112132000
61114000332
7205621325
oct56503000
925001152
1012224000
11699a088
1241160a8
1326bcc49
1418a2b4c
151116dd5
hexba8600

12224000 has 80 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 4864000.

The previous prime is 12223987. The next prime is 12224021. The reversal of 12224000 is 42221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63905 + ... + 64095.

Almost surely, 212224000 is an apocalyptic number.

12224000 is a gapful number since it is divisible by the number (10) 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 12224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

12224000 is an abundant number, since it is smaller than the sum of its proper divisors (18416896).

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

12224000 is an frugal number, since it uses more digits than its factorization.

12224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12224000 is about 3496.2837413459. The cubic root of 12224000 is about 230.3586088197.

Adding to 12224000 its reverse (42221), we get a palindrome (12266221).

The spelling of 12224000 in words is "twelve million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 191 200 250 256 320 382 400 500 512 640 764 800 955 1000 1280 1528 1600 1910 2000 2560 3056 3200 3820 4000 4775 6112 6400 7640 8000 9550 12224 12800 15280 16000 19100 23875 24448 30560 32000 38200 47750 48896 61120 64000 76400 95500 97792 122240 152800 191000 244480 305600 382000 488960 611200 764000 1222400 1528000 2444800 3056000 6112000 12224000