Search a number
-
+
230483206080 = 26395233743
BaseRepresentation
bin1101011010100111011…
…1101001111111000000
3211000220202211000000000
43112221313221333000
512234012200043310
6253514343000000
722436405632641
oct3265167517700
9730822730000
10230483206080
11898248410a6
1238804439000
131897183931a
14b22678d6c8
155ede6ea4c0
hex35a9de9fc0

230483206080 has 1120 divisors, whose sum is σ = 902771172864. Its totient is φ = 55870746624.

The previous prime is 230483206039. The next prime is 230483206087. The reversal of 230483206080 is 80602384032.

230483206080 is a `hidden beast` number, since 2 + 3 + 0 + 48 + 3 + 2 + 0 + 608 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230483206087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5360074539 + ... + 5360074581.

Almost surely, 2230483206080 is an apocalyptic number.

230483206080 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 230483206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451385586432).

230483206080 is an abundant number, since it is smaller than the sum of its proper divisors (672287966784).

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

230483206080 is an frugal number, since it uses more digits than its factorization.

230483206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 230483206080 in words is "two hundred thirty billion, four hundred eighty-three million, two hundred six thousand, eighty".