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12228048 = 2432721733
BaseRepresentation
bin101110101001…
…010111010000
3212000020201200
4232221113100
511112244143
61114031200
7205636200
oct56512720
925006650
1012228048
1169a2128
124118500
1326c1a41
1418a4400
1511181d3
hexba95d0

12228048 has 90 divisors (see below), whose sum is σ = 39831714. Its totient is φ = 3491712.

The previous prime is 12228031. The next prime is 12228061. The reversal of 12228048 is 84082221.

12228048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 2039184 = 3192^2 + 1428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6190 + ... + 7922.

Almost surely, 212228048 is an apocalyptic number.

12228048 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 12228048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915857).

12228048 is an abundant number, since it is smaller than the sum of its proper divisors (27603666).

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

12228048 is a wasteful number, since it uses less digits than its factorization.

12228048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12228048 is about 3496.8625938118. The cubic root of 12228048 is about 230.3840339052.

The spelling of 12228048 in words is "twelve million, two hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1733 1764 2352 3466 3528 5199 6932 7056 10398 12131 13864 15597 20796 24262 27728 31194 36393 41592 48524 62388 72786 83184 84917 97048 109179 124776 145572 169834 194096 218358 249552 254751 291144 339668 436716 509502 582288 679336 764253 873432 1019004 1358672 1528506 1746864 2038008 3057012 4076016 6114024 12228048