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12223003200 = 263527334883
BaseRepresentation
bin10110110001000110…
…00011101001000000
31011112211201220020020
423120203003221000
5200013042100300
65340513213440
7611616545562
oct133043035100
934484656206
1012223003200
115202626241
122451561280
1311ca414195
1483d4ab332
154b81208a0
hex2d88c3a40

12223003200 has 168 divisors, whose sum is σ = 40652139168. Its totient is φ = 3214725120.

The previous prime is 12223003187. The next prime is 12223003207. The reversal of 12223003200 is 230032221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12223003200.

It is not an unprimeable number, because it can be changed into a prime (12223003207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332959 + ... + 367841.

Almost surely, 212223003200 is an apocalyptic number.

12223003200 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 12223003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20326069584).

12223003200 is an abundant number, since it is smaller than the sum of its proper divisors (28429135968).

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

12223003200 is a wasteful number, since it uses less digits than its factorization.

12223003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34981 (or 34966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12223003200 its reverse (230032221), we get a palindrome (12453035421).

The spelling of 12223003200 in words is "twelve billion, two hundred twenty-three million, three thousand, two hundred".