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230430900 = 223527197557
BaseRepresentation
bin11011011110000…
…01100010110100
3121001121002202210
431233001202310
5432442242100
634510533420
75465426130
oct1557014264
9531532683
10230430900
11109088167
1265207270
133898045b
14228643c0
151536ac50
hexdbc18b4

230430900 has 144 divisors (see below), whose sum is σ = 767200896. Its totient is φ = 52308480.

The previous prime is 230430883. The next prime is 230430901. The reversal of 230430900 is 9034032.

230430900 is digitally balanced in base 2 and base 3, because in such bases 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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230430901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413422 + ... + 413978.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2230430900 is an apocalyptic number.

230430900 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 230430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383600448).

230430900 is an abundant number, since it is smaller than the sum of its proper divisors (536769996).

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

230430900 is a wasteful number, since it uses less digits than its factorization.

230430900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 230430900 is about 15179.9505928050. The cubic root of 230430900 is about 613.0749508951.

Adding to 230430900 its reverse (9034032), we get a palindrome (239464932).

The spelling of 230430900 in words is "two hundred thirty million, four hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 197 210 300 350 394 420 525 557 591 700 788 985 1050 1114 1182 1379 1671 1970 2100 2228 2364 2758 2785 2955 3342 3899 3940 4137 4925 5516 5570 5910 6684 6895 7798 8274 8355 9850 11140 11697 11820 13790 13925 14775 15596 16548 16710 19495 19700 20685 23394 27580 27850 29550 33420 34475 38990 41370 41775 46788 55700 58485 59100 68950 77980 82740 83550 97475 103425 109729 116970 137900 167100 194950 206850 219458 233940 292425 329187 389900 413700 438916 548645 584850 658374 768103 1097290 1169700 1316748 1536206 1645935 2194580 2304309 2743225 3072412 3291870 3840515 4608618 5486450 6583740 7681030 8229675 9217236 10972900 11521545 15362060 16459350 19202575 23043090 32918700 38405150 46086180 57607725 76810300 115215450 230430900