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230533460 = 225192512417
BaseRepresentation
bin11011011110110…
…10100101010100
3121001210022110022
431233122211110
5433004032320
634513044312
75466334133
oct1557324524
9531708408
10230533460
11109148223
1265256698
13389b8041
142288d91a
151538b325
hexdbda954

230533460 has 48 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 86976000.

The previous prime is 230533417. The next prime is 230533463. The reversal of 230533460 is 64335032.

230533460 is digitally balanced in base 3, 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 (230533463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94172 + ... + 96588.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2230533460 is an apocalyptic number.

230533460 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 230533460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

230533460 is an abundant number, since it is smaller than the sum of its proper divisors (281308780).

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

230533460 is a wasteful number, since it uses less digits than its factorization.

230533460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 230533460 is about 15183.3283571159. The cubic root of 230533460 is about 613.1658930400.

Adding to 230533460 its reverse (64335032), we get a palindrome (294868492).

The spelling of 230533460 in words is "two hundred thirty million, five hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 251 380 502 1004 1255 2417 2510 4769 4834 5020 9538 9668 12085 19076 23845 24170 45923 47690 48340 91846 95380 183692 229615 459230 606667 918460 1213334 2426668 3033335 6066670 11526673 12133340 23053346 46106692 57633365 115266730 230533460