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230411205000 = 2332545120249
BaseRepresentation
bin1101011010010110010…
…0111111100110001000
3211000201202022222002100
43112211210333212020
512233340232030000
6253503251433400
722434542633154
oct3264544774610
9730652288070
10230411205000
1189798133679
12387a42b5860
131895c949a32
14b21adaa064
155ed8226a00
hex35a593f988

230411205000 has 120 divisors (see below), whose sum is σ = 779788473750. Its totient is φ = 61442976000.

The previous prime is 230411204977. The next prime is 230411205061. The reversal of 230411205000 is 502114032.

230411205000 is a `hidden beast` number, since 2 + 3 + 0 + 41 + 120 + 500 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2865032676 + 227546172324 = 53526^2 + 477018^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2515125 + ... + 2605124.

Almost surely, 2230411205000 is an apocalyptic number.

230411205000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230411205000 is an abundant number, since it is smaller than the sum of its proper divisors (549377268750).

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

230411205000 is a wasteful number, since it uses less digits than its factorization.

230411205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120281 (or 5120259 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 230411205000 its reverse (502114032), we get a palindrome (230913319032).

The spelling of 230411205000 in words is "two hundred thirty billion, four hundred eleven million, two hundred five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 5120249 10240498 15360747 20480996 25601245 30721494 40961992 46082241 51202490 61442988 76803735 92164482 102404980 122885976 128006225 153607470 184328964 204809960 230411205 256012450 307214940 368657928 384018675 460822410 512024900 614429880 640031125 768037350 921644820 1024049800 1152056025 1280062250 1536074700 1843289640 1920093375 2304112050 2560124500 3072149400 3200155625 3840186750 4608224100 5120249000 5760280125 6400311250 7680373500 9216448200 9600466875 11520560250 12800622500 15360747000 19200933750 23041120500 25601245000 28801400625 38401867500 46082241000 57602801250 76803735000 115205602500 230411205000