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230336018880 = 263511415971127
BaseRepresentation
bin1101011010000100011…
…0001011100111000000
3211000112111212010010020
43112201012023213000
512233212010101010
6253452004133440
722432640566512
oct3264106134700
9730474763106
10230336018880
1189759750190
1238783097280
131894a1b37c6
14b210dd7bb2
155ed1824470
hex35a118b9c0

230336018880 has 896 divisors, whose sum is σ = 849452728320. Its totient is φ = 52383744000.

The previous prime is 230336018851. The next prime is 230336018881. The reversal of 230336018880 is 88810633032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230336018881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1813669377 + ... + 1813669503.

It is an arithmetic number, because the mean of its divisors is an integer number (948049920).

Almost surely, 2230336018880 is an apocalyptic number.

230336018880 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 230336018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424726364160).

230336018880 is an abundant number, since it is smaller than the sum of its proper divisors (619116709440).

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

230336018880 is a wasteful number, since it uses less digits than its factorization.

230336018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 230336018880 in words is "two hundred thirty billion, three hundred thirty-six million, eighteen thousand, eight hundred eighty".