Search a number
-
+
230324134500 = 2233531747131163
BaseRepresentation
bin1101011010000001100…
…0110110001001100100
3211000111200111022211000
43112200120312021210
512233200434301000
6253450501313300
722432434561255
oct3264030661144
9730450438730
10230324134500
1189752a73289
123877b105830
13189478b2325
14b20d5c2b2c
155ed0778000
hex35a0636264

230324134500 has 768 divisors, whose sum is σ = 816985128960. Its totient is φ = 55800576000.

The previous prime is 230324134487. The next prime is 230324134507. The reversal of 230324134500 is 5431423032.

230324134500 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 24 + 134 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230324134507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1413031419 + ... + 1413031581.

It is an arithmetic number, because the mean of its divisors is an integer number (1063782720).

Almost surely, 2230324134500 is an apocalyptic number.

230324134500 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 230324134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408492564480).

230324134500 is an abundant number, since it is smaller than the sum of its proper divisors (586660994460).

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

230324134500 is a wasteful number, since it uses less digits than its factorization.

230324134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 230324134500 its reverse (5431423032), we get a palindrome (235755557532).

The spelling of 230324134500 in words is "two hundred thirty billion, three hundred twenty-four million, one hundred thirty-four thousand, five hundred".