Search a number
-
+
230243830080 = 263511199971151
BaseRepresentation
bin1101011001101110011…
…0100000100101000000
3211000022002101102212020
43112123212200211000
512233014410030310
6253434512201440
722430441156505
oct3263346404500
9730262342766
10230243830080
11897117043a0
1238758239280
1318934076514
14b202a7b4ac
155ec86b4170
hex359b9a0940

230243830080 has 448 divisors, whose sum is σ = 841025617920. Its totient is φ = 52780032000.

The previous prime is 230243830049. The next prime is 230243830097. The reversal of 230243830080 is 80038342032.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200037505 + ... + 200038655.

Almost surely, 2230243830080 is an apocalyptic number.

230243830080 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 230243830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420512808960).

230243830080 is an abundant number, since it is smaller than the sum of its proper divisors (610781787840).

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

230243830080 is a wasteful number, since it uses less digits than its factorization.

230243830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 230243830080 in words is "two hundred thirty billion, two hundred forty-three million, eight hundred thirty thousand, eighty".