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230431680 = 26325293189
BaseRepresentation
bin11011011110000…
…01101111000000
3121001121010211200
431233001233000
5432442303210
634510541200
75465431323
oct1557015700
9531533750
10230431680
11109088806
1265207800
133898090b
14228647ba
151536b0c0
hexdbc1bc0

230431680 has 336 divisors, whose sum is σ = 855878400. Its totient is φ = 56770560.

The previous prime is 230431673. The next prime is 230431681. The reversal of 230431680 is 86134032.

It is a happy number.

230431680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230431681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2589076 + ... + 2589164.

Almost surely, 2230431680 is an apocalyptic number.

230431680 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 230431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

230431680 is an abundant number, since it is smaller than the sum of its proper divisors (625446720).

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

230431680 is a wasteful number, since it uses less digits than its factorization.

230431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230431680 is about 15179.9762845665. The cubic root of 230431680 is about 613.0756426396.

The spelling of 230431680 in words is "two hundred thirty million, four hundred thirty-one thousand, six hundred eighty".