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226330578 = 23341151677
BaseRepresentation
bin11010111110110…
…00011111010010
3120202212210012000
431133120133102
5430420034303
634243014430
75415530625
oct1537303722
9522783160
10226330578
11106837571
126396a416
1337b76026
14220b7dbc
1514d0ada3
hexd7d87d2

226330578 has 64 divisors (see below), whose sum is σ = 519402240. Its totient is φ = 73008000.

The previous prime is 226330567. The next prime is 226330589. The reversal of 226330578 is 875033622.

226330578 is a `hidden beast` number, since 22 + 63 + 3 + 0 + 578 = 666.

It is an interprime number because it is at equal distance from previous prime (226330567) and next prime (226330589).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333976 + ... + 334652.

It is an arithmetic number, because the mean of its divisors is an integer number (8115660).

Almost surely, 2226330578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226330578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259701120).

226330578 is an abundant number, since it is smaller than the sum of its proper divisors (293071662).

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

226330578 is a wasteful number, since it uses less digits than its factorization.

226330578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 226330578 is about 15044.2872214007. The cubic root of 226330578 is about 609.4167837858.

The spelling of 226330578 in words is "two hundred twenty-six million, three hundred thirty thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 151 246 302 369 453 677 738 906 1107 1354 1359 2031 2214 2718 4062 4077 6093 6191 8154 12186 12382 18279 18573 27757 36558 37146 55514 55719 83271 102227 111438 166542 167157 204454 249813 306681 334314 499626 613362 749439 920043 1498878 1840086 2760129 4191307 5520258 8382614 12573921 25147842 37721763 75443526 113165289 226330578