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226858848 = 25347137367
BaseRepresentation
bin11011000010110…
…01011101100000
3120210212121211120
431201121131200
5431033440343
634302212240
75423161026
oct1541313540
9523777746
10226858848
11107068457
1263b84080
1337ccc608
14221b4716
1514db2683
hexd859760

226858848 has 96 divisors (see below), whose sum is σ = 614283264. Its totient is φ = 73270272.

The previous prime is 226858823. The next prime is 226858861. The reversal of 226858848 is 848858622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 226858848.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 617961 + ... + 618327.

It is an arithmetic number, because the mean of its divisors is an integer number (6398784).

Almost surely, 2226858848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226858848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307141632).

226858848 is an abundant number, since it is smaller than the sum of its proper divisors (387424416).

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

226858848 is a wasteful number, since it uses less digits than its factorization.

226858848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The square root of 226858848 is about 15061.8341512579. The cubic root of 226858848 is about 609.8905545830.

It can be divided in two parts, 2268 and 58848, that added together give a palindrome (61116).

The spelling of 226858848 in words is "two hundred twenty-six million, eight hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 137 141 188 274 282 367 376 411 548 564 734 752 822 1096 1101 1128 1468 1504 1644 2192 2202 2256 2936 3288 4384 4404 4512 5872 6439 6576 8808 11744 12878 13152 17249 17616 19317 25756 34498 35232 38634 50279 51512 51747 68996 77268 100558 103024 103494 137992 150837 154536 201116 206048 206988 275984 301674 309072 402232 413976 551968 603348 618144 804464 827952 1206696 1608928 1655904 2363113 2413392 4726226 4826784 7089339 9452452 14178678 18904904 28357356 37809808 56714712 75619616 113429424 226858848