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24222005000 = 2354312712
BaseRepresentation
bin10110100011101111…
…100111011100001000
32022112001222100022022
4112203233213130020
5344101313130000
615043305344012
71515146434244
oct264357473410
968461870268
1024222005000
11a2aa765956
12483ba98008
1323902b954b
14125ad09424
1596b745585
hex5a3be7708

24222005000 has 180 divisors, whose sum is σ = 59479503435. Its totient is φ = 9244200000.

The previous prime is 24222004997. The next prime is 24222005029. The reversal of 24222005000 is 50022242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5600127556 + 18621877444 = 74834^2 + 136462^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=110050.

It is a self number, because there is not a number n which added to its sum of digits gives 24222005000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 341154965 + ... + 341155035.

Almost surely, 224222005000 is an apocalyptic number.

24222005000 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 24222005000

24222005000 is an abundant number, since it is smaller than the sum of its proper divisors (35257498435).

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

24222005000 is an frugal number, since it uses more digits than its factorization.

24222005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

Adding to 24222005000 its reverse (50022242), we get a palindrome (24272027242).

The spelling of 24222005000 in words is "twenty-four billion, two hundred twenty-two million, five thousand".