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24223212000 = 2538531371
BaseRepresentation
bin10110100011110100…
…001110000111100000
32022112011020200000000
4112203310032013200
5344102120241000
615043351300000
71515162622221
oct264364160740
968464220000
1024223212000
11a30040a779
12484037a600
13239061ca50
14125b141248
1596b8d3000
hex5a3d0e1e0

24223212000 has 864 divisors, whose sum is σ = 97491086784. Its totient is φ = 5878656000.

The previous prime is 24223211993. The next prime is 24223212019. The reversal of 24223212000 is 21232242.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 341171965 + ... + 341172035.

It is an arithmetic number, because the mean of its divisors is an integer number (112836906).

Almost surely, 224223212000 is an apocalyptic number.

24223212000 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 24223212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48745543392).

24223212000 is an abundant number, since it is smaller than the sum of its proper divisors (73267874784).

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

24223212000 is an frugal number, since it uses more digits than its factorization.

24223212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 24223212000 its reverse (21232242), we get a palindrome (24244444242).

The spelling of 24223212000 in words is "twenty-four billion, two hundred twenty-three million, two hundred twelve thousand".