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230355648 = 26324767127
BaseRepresentation
bin11011011101011…
…11001011000000
3121001110021112200
431232233023000
5432432340043
634505153200
75464663545
oct1556571300
9531407480
10230355648
11109036676
126518b800
1338955123
1422844bcc
15153537d3
hexdbaf2c0

230355648 has 168 divisors, whose sum is σ = 689774592. Its totient is φ = 73446912.

The previous prime is 230355641. The next prime is 230355659. The reversal of 230355648 is 846553032.

It is a happy number.

230355648 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 5 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230355641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1813761 + ... + 1813887.

Almost surely, 2230355648 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 230355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344887296).

230355648 is an abundant number, since it is smaller than the sum of its proper divisors (459418944).

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

230355648 is a wasteful number, since it uses less digits than its factorization.

230355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 230355648 is about 15177.4717262132. The cubic root of 230355648 is about 613.0082061729.

The spelling of 230355648 in words is "two hundred thirty million, three hundred fifty-five thousand, six hundred forty-eight".