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230110368 = 253171941181
BaseRepresentation
bin11011011011100…
…11010010100000
3121000222211002020
431231303102200
5432402012433
634500021440
75462622465
oct1555632240
9530884066
10230110368
11108989364
1265091880
133889a5a7
14227bd66c
1515305cb3
hexdb734a0

230110368 has 192 divisors, whose sum is σ = 693463680. Its totient is φ = 66355200.

The previous prime is 230110367. The next prime is 230110369. The reversal of 230110368 is 863011032.

230110368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230110367) and next prime (230110369).

It is a super-2 number, since 2×2301103682 = 105901562922190848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230110367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271238 + ... + 1271418.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2230110368 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 230110368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

230110368 is an abundant number, since it is smaller than the sum of its proper divisors (463353312).

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

230110368 is a wasteful number, since it uses less digits than its factorization.

230110368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 230110368 is about 15169.3891768917. The cubic root of 230110368 is about 612.7905542473.

The spelling of 230110368 in words is "two hundred thirty million, one hundred ten thousand, three hundred sixty-eight".