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228000336 = 24383151379
BaseRepresentation
bin11011001011100…
…00001001010000
3120220000121122220
431211300021100
5431332002321
634342501040
75435654004
oct1545601120
9526017586
10228000336
11107778033
1264434780
133830c055
14223d0704
151503a9c6
hexd970250

228000336 has 80 divisors (see below), whose sum is σ = 601628160. Its totient is φ = 74390400.

The previous prime is 228000307. The next prime is 228000341. The reversal of 228000336 is 633000822.

It is a super-2 number, since 2×2280003362 = 103968306432225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601395 + ... + 601773.

It is an arithmetic number, because the mean of its divisors is an integer number (7520352).

Almost surely, 2228000336 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 228000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300814080).

228000336 is an abundant number, since it is smaller than the sum of its proper divisors (373627824).

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

228000336 is a wasteful number, since it uses less digits than its factorization.

228000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 228000336 is about 15099.6799966092. The cubic root of 228000336 is about 610.9117745257.

The spelling of 228000336 in words is "two hundred twenty-eight million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 83 151 166 249 302 332 379 453 498 604 664 758 906 996 1137 1208 1328 1516 1812 1992 2274 2416 3032 3624 3984 4548 6064 7248 9096 12533 18192 25066 31457 37599 50132 57229 62914 75198 94371 100264 114458 125828 150396 171687 188742 200528 228916 251656 300792 343374 377484 457832 503312 601584 686748 754968 915664 1373496 1509936 2746992 4750007 9500014 14250021 19000028 28500042 38000056 57000084 76000112 114000168 228000336