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230059648 = 2771319751
BaseRepresentation
bin11011011011001…
…10111010000000
3121000220020111201
431231212322000
5432343402043
634454550544
75462321560
oct1555467200
9530806451
10230059648
11108954245
1265068454
1338880490
14227a8da0
15152e5c4d
hexdb66e80

230059648 has 64 divisors (see below), whose sum is σ = 564117120. Its totient is φ = 91008000.

The previous prime is 230059633. The next prime is 230059663. The reversal of 230059648 is 846950032.

230059648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230059633) and next prime (230059663).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1773 + ... + 21523.

It is an arithmetic number, because the mean of its divisors is an integer number (8814330).

Almost surely, 2230059648 is an apocalyptic number.

230059648 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 230059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282058560).

230059648 is an abundant number, since it is smaller than the sum of its proper divisors (334057472).

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

230059648 is a wasteful number, since it uses less digits than its factorization.

230059648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19785 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 230059648 is about 15167.7172969435. The cubic root of 230059648 is about 612.7455279974.

The spelling of 230059648 in words is "two hundred thirty million, fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 19751 39502 79004 138257 158008 256763 276514 316016 513526 553028 632032 1027052 1106056 1264064 1797341 2054104 2212112 2528128 3594682 4108208 4424224 7189364 8216416 8848448 14378728 16432832 17696896 28757456 32865664 57514912 115029824 230059648