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230986463680 = 2657173139151
BaseRepresentation
bin1101011100011111011…
…1011011100111000000
3211002012211210010122101
43113013313123213000
512241030013314210
6254040321320144
722455026355160
oct3270767334700
9732184703571
10230986463680
1189a62922a75
1238924a96054
1318a21b9209b
14b2735525a0
15601d9a8a3a
hex35c7ddb9c0

230986463680 has 448 divisors, whose sum is σ = 677153433600. Its totient is φ = 73510502400.

The previous prime is 230986463621. The next prime is 230986463699. The reversal of 230986463680 is 86364689032.

It is a tau number, because it is divible by the number of its divisors (448).

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, 1529711605 + ... + 1529711755.

It is an arithmetic number, because the mean of its divisors is an integer number (1511503200).

Almost surely, 2230986463680 is an apocalyptic number.

230986463680 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 230986463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338576716800).

230986463680 is an abundant number, since it is smaller than the sum of its proper divisors (446166969920).

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

230986463680 is a wasteful number, since it uses less digits than its factorization.

230986463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 55.

The spelling of 230986463680 in words is "two hundred thirty billion, nine hundred eighty-six million, four hundred sixty-three thousand, six hundred eighty".