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230289696 = 253371329101
BaseRepresentation
bin11011011100111…
…11000100100000
3121001022221002000
431232133010200
5432423232241
634503524000
75464300350
oct1556370440
9531287060
10230289696
11108aa106a
1265159600
13389310c0
1422828b60
151533deb6
hexdb9f120

230289696 has 384 divisors, whose sum is σ = 863654400. Its totient is φ = 58060800.

The previous prime is 230289691. The next prime is 230289721. The reversal of 230289696 is 696982032.

230289696 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 (230289691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2280046 + ... + 2280146.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2230289696 is an apocalyptic number.

230289696 is a gapful number since it is divisible by the number (26) 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 230289696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

230289696 is an abundant number, since it is smaller than the sum of its proper divisors (633364704).

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

230289696 is a wasteful number, since it uses less digits than its factorization.

230289696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 230289696 is about 15175.2988767932. The cubic root of 230289696 is about 612.9496981274.

The spelling of 230289696 in words is "two hundred thirty million, two hundred eighty-nine thousand, six hundred ninety-six".