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22412230000 = 24542299787
BaseRepresentation
bin10100110111110111…
…110111110101110000
32010211221120020201121
4110313313313311300
5331400012330000
614143535512024
71422252545266
oct246767676560
963757506647
1022412230000
119561135136
124415988614
132162386174
14112880a436
158b290ab1a
hex537df7d70

22412230000 has 100 divisors (see below), whose sum is σ = 54504771640. Its totient is φ = 8924832000.

The previous prime is 22412229953. The next prime is 22412230021. The reversal of 22412230000 is 3221422.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2285107 + ... + 2294893.

Almost surely, 222412230000 is an apocalyptic number.

22412230000 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 22412230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27252385820).

22412230000 is an abundant number, since it is smaller than the sum of its proper divisors (32092541640).

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

22412230000 is an equidigital number, since it uses as much as digits as its factorization.

22412230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22412230000 its reverse (3221422), we get a palindrome (22415451422).

The spelling of 22412230000 in words is "twenty-two billion, four hundred twelve million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 229 250 400 458 500 625 916 1000 1145 1250 1832 2000 2290 2500 3664 4580 5000 5725 9160 9787 10000 11450 18320 19574 22900 28625 39148 45800 48935 57250 78296 91600 97870 114500 143125 156592 195740 229000 244675 286250 391480 458000 489350 572500 782960 978700 1145000 1223375 1957400 2241223 2290000 2446750 3914800 4482446 4893500 6116875 8964892 9787000 11206115 12233750 17929784 19574000 22412230 24467500 35859568 44824460 48935000 56030575 89648920 97870000 112061150 179297840 224122300 280152875 448244600 560305750 896489200 1120611500 1400764375 2241223000 2801528750 4482446000 5603057500 11206115000 22412230000