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230430120 = 23354344657
BaseRepresentation
bin11011011110000…
…01010110101000
3121001121001200220
431233001112220
5432442230440
634510530040
75465423634
oct1557012650
9531531626
10230430120
11109087618
1265206920
133897ccab
1422863dc4
151536a8d0
hexdbc15a8

230430120 has 64 divisors (see below), whose sum is σ = 707382720. Its totient is φ = 60017664.

The previous prime is 230430103. The next prime is 230430173. The reversal of 230430120 is 21034032.

230430120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230430120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17169 + ... + 27488.

It is an arithmetic number, because the mean of its divisors is an integer number (11052855).

Almost surely, 2230430120 is an apocalyptic number.

230430120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230430120 is an abundant number, since it is smaller than the sum of its proper divisors (476952600).

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

230430120 is a wasteful number, since it uses less digits than its factorization.

230430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44714 (or 44710 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230430120 is about 15179.9249010000. The cubic root of 230430120 is about 613.0742591491.

Adding to 230430120 its reverse (21034032), we get a palindrome (251464152).

The spelling of 230430120 in words is "two hundred thirty million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 44657 89314 133971 178628 223285 267942 357256 446570 535884 669855 893140 1071768 1339710 1786280 1920251 2679420 3840502 5358840 5760753 7681004 9601255 11521506 15362008 19202510 23043012 28803765 38405020 46086024 57607530 76810040 115215060 230430120