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230916096 = 2153529
BaseRepresentation
bin11011100001110…
…00000000000000
3121002111202100000
431300320000000
5433103303341
634525200000
75502516525
oct1560700000
9532452300
10230916096
11109389754
1265400000
1338ac0258
142294d14c
15154148b6
hexdc38000

230916096 has 192 divisors, whose sum is σ = 715642200. Its totient is φ = 74317824.

The previous prime is 230916061. The next prime is 230916097. The reversal of 230916096 is 690619032.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 230916096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230916097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962610 + ... + 7962638.

Almost surely, 2230916096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357821100).

230916096 is an abundant number, since it is smaller than the sum of its proper divisors (484726104).

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

230916096 is an frugal number, since it uses more digits than its factorization.

230916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 230916096 is about 15195.9236639304. The cubic root of 230916096 is about 613.5049467263.

The spelling of 230916096 in words is "two hundred thirty million, nine hundred sixteen thousand, ninety-six".