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230997312 = 26337132113
BaseRepresentation
bin11011100010010…
…11110101000000
3121002122212202000
431301023311000
5433113403222
634531024000
75503305360
oct1561136500
9532585660
10230997312
11109434777
126543b000
1338b1b200
14229709a0
151542d9ac
hexdc4bd40

230997312 has 336 divisors, whose sum is σ = 847831680. Its totient is φ = 60383232.

The previous prime is 230997281. The next prime is 230997313. The reversal of 230997312 is 213799032.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230997313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044168 + ... + 2044280.

Almost surely, 2230997312 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 230997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423915840).

230997312 is an abundant number, since it is smaller than the sum of its proper divisors (616834368).

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

230997312 is a wasteful number, since it uses less digits than its factorization.

230997312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 230997312 is about 15198.5957246056. The cubic root of 230997312 is about 613.5768640132.

The spelling of 230997312 in words is "two hundred thirty million, nine hundred ninety-seven thousand, three hundred twelve".