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230171680 = 2552236451
BaseRepresentation
bin11011011100000…
…10010000100000
3121001002221012001
431232002100200
5432410443210
634501213344
75463266314
oct1556022040
9531087161
10230171680
11108a20432
1265101254
13388bc47b
14227d7b44
151531903a
hexdb82420

230171680 has 48 divisors (see below), whose sum is σ = 546303744. Its totient is φ = 91641600.

The previous prime is 230171609. The next prime is 230171707. The reversal of 230171680 is 86171032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32455 + ... + 38905.

It is an arithmetic number, because the mean of its divisors is an integer number (11381328).

Almost surely, 2230171680 is an apocalyptic number.

230171680 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 230171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273151872).

230171680 is an abundant number, since it is smaller than the sum of its proper divisors (316132064).

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

230171680 is a wasteful number, since it uses less digits than its factorization.

230171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 230171680 is about 15171.4099542528. The cubic root of 230171680 is about 612.8449746230.

The spelling of 230171680 in words is "two hundred thirty million, one hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 6451 7136 8920 12902 17840 25804 32255 35680 51608 64510 103216 129020 206432 258040 516080 1032160 1438573 2877146 5754292 7192865 11508584 14385730 23017168 28771460 46034336 57542920 115085840 230171680