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230305216300 = 2252127180110069
BaseRepresentation
bin1101011001111101000…
…0101011011100101100
3211000110100220011220221
43112133100223130230
512233131113410200
6253444544021124
722432115016205
oct3263720533454
9730410804827
10230305216300
1189743321805
12387749017a4
13189439ba423
14b20ac9a5ac
155ecdc8c91a
hex359f42b72c

230305216300 has 72 divisors (see below), whose sum is σ = 504027184640. Its totient is φ = 91336896000.

The previous prime is 230305216283. The next prime is 230305216303. The reversal of 230305216300 is 3612503032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (230305216303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22867666 + ... + 22877734.

Almost surely, 2230305216300 is an apocalyptic number.

230305216300 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 230305216300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252013592320).

230305216300 is an abundant number, since it is smaller than the sum of its proper divisors (273721968340).

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

230305216300 is a wasteful number, since it uses less digits than its factorization.

230305216300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 230305216300 its reverse (3612503032), we get a palindrome (233917719332).

The spelling of 230305216300 in words is "two hundred thirty billion, three hundred five million, two hundred sixteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 1801 2540 3175 3602 6350 7204 9005 10069 12700 18010 20138 36020 40276 45025 50345 90050 100690 180100 201380 228727 251725 457454 503450 914908 1006900 1143635 1278763 2287270 2557526 4574540 5115052 5718175 6393815 11436350 12787630 18134269 22872700 25575260 31969075 36268538 63938150 72537076 90671345 127876300 181342690 362685380 453356725 906713450 1813426900 2303052163 4606104326 9212208652 11515260815 23030521630 46061043260 57576304075 115152608150 230305216300