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12228552 = 23327191277
BaseRepresentation
bin101110101001…
…011111001000
3212000021102100
4232221133020
511112303202
61114033400
7205640520
oct56513710
925007370
1012228552
1169a2546
124118860
1326c203b
1418a4680
15111841c
hexba97c8

12228552 has 96 divisors (see below), whose sum is σ = 39873600. Its totient is φ = 3307392.

The previous prime is 12228551. The next prime is 12228553. The reversal of 12228552 is 25582221.

It is an interprime number because it is at equal distance from previous prime (12228551) and next prime (12228553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8938 + ... + 10214.

It is an arithmetic number, because the mean of its divisors is an integer number (415350).

Almost surely, 212228552 is an apocalyptic number.

12228552 is a gapful number since it is divisible by the number (12) 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 12228552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936800).

12228552 is an abundant number, since it is smaller than the sum of its proper divisors (27645048).

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

12228552 is a wasteful number, since it uses less digits than its factorization.

12228552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 12228552 is about 3496.9346576681. The cubic root of 12228552 is about 230.3871990863.

The spelling of 12228552 in words is "twelve million, two hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1277 1368 1596 2394 2554 3192 3831 4788 5108 7662 8939 9576 10216 11493 15324 17878 22986 24263 26817 30648 35756 45972 48526 53634 71512 72789 80451 91944 97052 107268 145578 160902 169841 194104 214536 218367 291156 321804 339682 436734 509523 582312 643608 679364 873468 1019046 1358728 1528569 1746936 2038092 3057138 4076184 6114276 12228552