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530226256 = 24722923321
BaseRepresentation
bin11111100110101…
…001110001010000
31100221201021200111
4133212221301100
52041214220011
6124340331104
716065564100
oct3746516120
91327637614
10530226256
1125233191a
121296a3a94
1385b09061
14505c3200
1531839121
hex1f9a9c50

530226256 has 60 divisors (see below), whose sum is σ = 1236299220. Its totient is φ = 219394560.

The previous prime is 530226251. The next prime is 530226259. The reversal of 530226256 is 652622035.

It can be written as a sum of positive squares in 2 ways, for example, as 261921856 + 268304400 = 16184^2 + 16380^2 .

It is a super-2 number, since 2×5302262562 = 562279765103555072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530226251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11076 + ... + 34396.

It is an arithmetic number, because the mean of its divisors is an integer number (20604987).

Almost surely, 2530226256 is an apocalyptic number.

530226256 is a gapful number since it is divisible by the number (56) 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 530226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618149610).

530226256 is an abundant number, since it is smaller than the sum of its proper divisors (706072964).

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

530226256 is a wasteful number, since it uses less digits than its factorization.

530226256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23372 (or 23359 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 530226256 is about 23026.6423084218. The cubic root of 530226256 is about 809.3823752919.

The spelling of 530226256 in words is "five hundred thirty million, two hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2842 3248 5684 11368 22736 23321 46642 93284 163247 186568 326494 373136 652988 676309 1142729 1305976 1352618 2285458 2611952 2705236 4570916 4734163 5410472 9141832 9468326 10820944 18283664 18936652 33139141 37873304 66278282 75746608 132556564 265113128 530226256