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22004430000 = 243547214969
BaseRepresentation
bin10100011111100100…
…001111010010110000
32002210112012212021220
4110133210033102300
5330031113230000
614035251145040
71406201366100
oct243744172260
962715185256
1022004430000
119371a21a43
1243212a5180
1320c8a434a7
1410ca5b5200
1588bc061a0
hex51f90f4b0

22004430000 has 300 divisors, whose sum is σ = 82636016760. Its totient is φ = 5029248000.

The previous prime is 22004429983. The next prime is 22004430011. The reversal of 22004430000 is 3440022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1462516 + ... + 1477484.

Almost surely, 222004430000 is an apocalyptic number.

22004430000 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 22004430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41318008380).

22004430000 is an abundant number, since it is smaller than the sum of its proper divisors (60631586760).

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

22004430000 is a wasteful number, since it uses less digits than its factorization.

22004430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 22004430000 its reverse (3440022), we get a palindrome (22007870022).

The spelling of 22004430000 in words is "twenty-two billion, four million, four hundred thirty thousand".