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230003120 = 2451032271
BaseRepresentation
bin11011011010110…
…01000110110000
3121000210100222002
431231121012300
5432340044440
634453433132
75461665014
oct1555310660
9530710862
10230003120
11108915826
126503b7a8
1338860829
1422792544
15152d4115
hexdb591b0

230003120 has 60 divisors (see below), whose sum is σ = 541992096. Its totient is φ = 90771840.

The previous prime is 230003099. The next prime is 230003129. The reversal of 230003120 is 21300032.

230003120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230003129) 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, 848585 + ... + 848855.

Almost surely, 2230003120 is an apocalyptic number.

230003120 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 230003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270996048).

230003120 is an abundant number, since it is smaller than the sum of its proper divisors (311988976).

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

230003120 is a wasteful number, since it uses less digits than its factorization.

230003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 230003120 is about 15165.8537511081. The cubic root of 230003120 is about 612.6953379463.

Adding to 230003120 its reverse (21300032), we get a palindrome (251303152).

The spelling of 230003120 in words is "two hundred thirty million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 271 412 515 542 824 1030 1084 1355 1648 2060 2168 2710 4120 4336 5420 8240 10609 10840 21218 21680 27913 42436 53045 55826 84872 106090 111652 139565 169744 212180 223304 279130 424360 446608 558260 848720 1116520 2233040 2875039 5750078 11500156 14375195 23000312 28750390 46000624 57500780 115001560 230003120