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12227328 = 28332961
BaseRepresentation
bin101110101001…
…001100000000
3212000012202000
4232221030000
511112233303
61114024000
7205634121
oct56511400
925005660
1012227328
1169a1633
124118000
1326c1609
1418a4048
151117da3
hexba9300

12227328 has 144 divisors (see below), whose sum is σ = 38018400. Its totient is φ = 3870720.

The previous prime is 12227323. The next prime is 12227333. The reversal of 12227328 is 82372221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12227323) and next prime (12227333).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12227323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200418 + ... + 200478.

Almost surely, 212227328 is an apocalyptic number.

12227328 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 12227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009200).

12227328 is an abundant number, since it is smaller than the sum of its proper divisors (25791072).

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

12227328 is an equidigital number, since it uses as much as digits as its factorization.

12227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12227328 is about 3496.7596428694. The cubic root of 12227328 is about 230.3795120671.

Adding to 12227328 its reverse (82372221), we get a palindrome (94599549).

The spelling of 12227328 in words is "twelve million, two hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 61 64 72 87 96 108 116 122 128 144 174 183 192 216 232 244 256 261 288 348 366 384 432 464 488 522 549 576 696 732 768 783 864 928 976 1044 1098 1152 1392 1464 1566 1647 1728 1769 1856 1952 2088 2196 2304 2784 2928 3132 3294 3456 3538 3712 3904 4176 4392 5307 5568 5856 6264 6588 6912 7076 7424 7808 8352 8784 10614 11136 11712 12528 13176 14152 15616 15921 16704 17568 21228 22272 23424 25056 26352 28304 31842 33408 35136 42456 46848 47763 50112 52704 56608 63684 66816 70272 84912 95526 100224 105408 113216 127368 140544 169824 191052 200448 210816 226432 254736 339648 382104 421632 452864 509472 679296 764208 1018944 1358592 1528416 2037888 3056832 4075776 6113664 12227328