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226883328 = 283726029
BaseRepresentation
bin11011000010111…
…11011100000000
3120210220212102020
431201133130000
5431040231303
634302521440
75423322300
oct1541373400
9523825366
10226883328
11107084891
1263b96280
133800a7b9
14221bd600
1514db9a53
hexd85f700

226883328 has 108 divisors (see below), whose sum is σ = 702543240. Its totient is φ = 64813056.

The previous prime is 226883323. The next prime is 226883357. The reversal of 226883328 is 823388622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 226883328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226883323) 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 11 ways as a sum of consecutive naturals, for example, 34618 + ... + 40646.

It is an arithmetic number, because the mean of its divisors is an integer number (6505030).

Almost surely, 2226883328 is an apocalyptic number.

226883328 is a gapful number since it is divisible by the number (28) 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 226883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351271620).

226883328 is an abundant number, since it is smaller than the sum of its proper divisors (475659912).

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

226883328 is an equidigital number, since it uses as much as digits as its factorization.

226883328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6041 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 226883328 is about 15062.6467793678. The cubic root of 226883328 is about 609.9124912541.

The spelling of 226883328 in words is "two hundred twenty-six million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6029 6272 9408 12058 12544 18087 18816 24116 36174 37632 42203 48232 72348 84406 96464 126609 144696 168812 192928 253218 289392 295421 337624 385856 506436 578784 590842 675248 771712 886263 1012872 1157568 1181684 1350496 1543424 1772526 2025744 2315136 2363368 2700992 3545052 4051488 4630272 4726736 5401984 7090104 8102976 9453472 10803968 14180208 16205952 18906944 28360416 32411904 37813888 56720832 75627776 113441664 226883328