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230333760 = 2633553503
BaseRepresentation
bin11011011101010…
…01110101000000
3121001102011112000
431232221311000
5432431140020
634504504000
75464542666
oct1556516500
9531364460
10230333760
11109021188
126517b000
1338948187
142283ac36
151534c090
hexdba9d40

230333760 has 224 divisors, whose sum is σ = 829543680. Its totient is φ = 60143616.

The previous prime is 230333749. The next prime is 230333773. The reversal of 230333760 is 67333032.

230333760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457669 + ... + 458171.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 2230333760 is an apocalyptic number.

230333760 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 230333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414771840).

230333760 is an abundant number, since it is smaller than the sum of its proper divisors (599209920).

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

230333760 is a wasteful number, since it uses less digits than its factorization.

230333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 230333760 is about 15176.7506403709. The cubic root of 230333760 is about 612.9887898939.

Adding to 230333760 its reverse (67333032), we get a palindrome (297666792).

It can be divided in two parts, 2303 and 33760, that added together give a palindrome (36063).

The spelling of 230333760 in words is "two hundred thirty million, three hundred thirty-three thousand, seven hundred sixty".