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12228496 = 247412663
BaseRepresentation
bin101110101001…
…011110010000
3212000021100021
4232221132100
511112302441
61114033224
7205640410
oct56513620
925007307
1012228496
1169a24a5
124118814
1326c1cc7
1418a4640
1511183d1
hexba9790

12228496 has 40 divisors (see below), whose sum is σ = 27748224. Its totient is φ = 5111040.

The previous prime is 12228493. The next prime is 12228527. The reversal of 12228496 is 69482221.

12228496 = 5262 + 5272 + ... + 5662.

12228496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122284962 = 299072228844032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12228493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3261 + ... + 5923.

Almost surely, 212228496 is an apocalyptic number.

12228496 is a gapful number since it is divisible by the number (16) 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 12228496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112).

12228496 is an abundant number, since it is smaller than the sum of its proper divisors (15519728).

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

12228496 is a wasteful number, since it uses less digits than its factorization.

12228496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 12228496 is about 3496.9266506462. The cubic root of 12228496 is about 230.3868474038.

The spelling of 12228496 in words is "twelve million, two hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 2663 4592 5326 10652 18641 21304 37282 42608 74564 109183 149128 218366 298256 436732 764281 873464 1528562 1746928 3057124 6114248 12228496