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230020352 = 281974561
BaseRepresentation
bin11011011010111…
…01010100000000
3121000211020121022
431231131110000
5432341122402
634454045012
75462066162
oct1555352400
9530736538
10230020352
11108927771
1265049768
1338868623
1422798932
15152d92a2
hexdb5d500

230020352 has 36 divisors (see below), whose sum is σ = 461574036. Its totient is φ = 114401280.

The previous prime is 230020339. The next prime is 230020367. The reversal of 230020352 is 253020032.

230020352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 167547136 + 62473216 = 12944^2 + 7904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230020352.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 48152 + ... + 52712.

It is an arithmetic number, because the mean of its divisors is an integer number (12821501).

Almost surely, 2230020352 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 230020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230787018).

230020352 is an abundant number, since it is smaller than the sum of its proper divisors (231553684).

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

230020352 is an equidigital number, since it uses as much as digits as its factorization.

230020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 230020352 is about 15166.4218588301. The cubic root of 230020352 is about 612.7106387567.

Adding to 230020352 its reverse (253020032), we get a palindrome (483040384).

The spelling of 230020352 in words is "two hundred thirty million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 788 1576 3152 4561 6304 9122 12608 18244 25216 36488 50432 72976 145952 291904 583808 898517 1167616 1797034 3594068 7188136 14376272 28752544 57505088 115010176 230020352