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230650560 = 26325717673
BaseRepresentation
bin11011011111101…
…11001011000000
3121002000021002100
431233313023000
5433021304220
634515350400
75500332420
oct1557671300
9532007070
10230650560
111092181a8
12652b2400
1338a2942a
14228c0480
15153b0d90
hexdbf72c0

230650560 has 336 divisors, whose sum is σ = 961436736. Its totient is φ = 49545216.

The previous prime is 230650549. The next prime is 230650579. The reversal of 230650560 is 65056032.

230650560 is a `hidden beast` number, since 2 + 3 + 0 + 650 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342384 + ... + 343056.

Almost surely, 2230650560 is an apocalyptic number.

230650560 is a gapful number since it is divisible by the number (20) 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 230650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480718368).

230650560 is an abundant number, since it is smaller than the sum of its proper divisors (730786176).

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

230650560 is a wasteful number, since it uses less digits than its factorization.

230650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 230650560 is about 15187.1840707881. The cubic root of 230650560 is about 613.2696951406.

The spelling of 230650560 in words is "two hundred thirty million, six hundred fifty thousand, five hundred sixty".