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226246482 = 232711239683
BaseRepresentation
bin11010111110000…
…11111101010010
3120202201111211100
431133003331102
5430404341412
634241125230
75415030510
oct1537037522
9522644740
10226246482
1110678a370
1263929816
1337b46977
14220954b0
1514ce0edc
hexd7c3f52

226246482 has 96 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 58433760.

The previous prime is 226246481. The next prime is 226246511. The reversal of 226246482 is 284642622.

226246482 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 4 + 648 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (226246481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 330913 + ... + 331595.

It is an arithmetic number, because the mean of its divisors is an integer number (6402240).

Almost surely, 2226246482 is an apocalyptic number.

226246482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 226246482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307307520).

226246482 is an abundant number, since it is smaller than the sum of its proper divisors (388368558).

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

226246482 is a wasteful number, since it uses less digits than its factorization.

226246482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 226246482 is about 15041.4920137598. The cubic root of 226246482 is about 609.3412955875.

The spelling of 226246482 in words is "two hundred twenty-six million, two hundred forty-six thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 239 462 478 683 693 717 1366 1386 1434 1673 2049 2151 2629 3346 4098 4302 4781 5019 5258 6147 7513 7887 9562 10038 12294 14343 15026 15057 15774 18403 22539 23661 28686 30114 36806 43029 45078 47322 52591 55209 67617 86058 105182 110418 135234 157773 163237 165627 315546 326474 331254 473319 489711 946638 979422 1142659 1469133 1795607 2285318 2938266 3427977 3591214 5386821 6855954 10283931 10773642 12569249 16160463 20567862 25138498 32320926 37707747 75415494 113123241 226246482