Search a number
-
+
12230033200 = 24527113112809
BaseRepresentation
bin10110110001111011…
…10111111100110000
31011120022222001120121
423120331313330300
5200021342030300
65341324020024
7612033365320
oct133075677460
934508861517
1012230033200
115206597a60
122453991614
1311cba05c48
148403bb280
154b8a5d81a
hex2d8f77f30

12230033200 has 240 divisors, whose sum is σ = 37817579520. Its totient is φ = 3688704000.

The previous prime is 12230033197. The next prime is 12230033201. The reversal of 12230033200 is 233003221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12230033201) 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, 948396 + ... + 961204.

It is an arithmetic number, because the mean of its divisors is an integer number (157573248).

Almost surely, 212230033200 is an apocalyptic number.

12230033200 is a gapful number since it is divisible by the number (10) 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 12230033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18908789760).

12230033200 is an abundant number, since it is smaller than the sum of its proper divisors (25587546320).

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

12230033200 is a wasteful number, since it uses less digits than its factorization.

12230033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12230033200 its reverse (233003221), we get a palindrome (12463036421).

The spelling of 12230033200 in words is "twelve billion, two hundred thirty million, thirty-three thousand, two hundred".