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22868049800 = 2352174372
BaseRepresentation
bin10101010011000010…
…101011111110001000
32012000201021021221102
4111103002223332020
5333313210043200
614301101400532
71436456134061
oct252302537610
965021237842
1022868049800
119775466312
124522569148
13220593cb1b
14116d181568
158dc9486d5
hex5530abf88

22868049800 has 180 divisors, whose sum is σ = 58059242955. Its totient is φ = 8376468480.

The previous prime is 22868049781. The next prime is 22868049823. The reversal of 22868049800 is 894086822.

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 23 ways, for example, as 320624836 + 22547424964 = 17906^2 + 150158^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106930.

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 44 ways as a sum of consecutive naturals, for example, 618055382 + ... + 618055418.

Almost surely, 222868049800 is an apocalyptic number.

22868049800 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 22868049800

22868049800 is an abundant number, since it is smaller than the sum of its proper divisors (35191193155).

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

22868049800 is an frugal number, since it uses more digits than its factorization.

22868049800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 22868049800 in words is "twenty-two billion, eight hundred sixty-eight million, forty-nine thousand, eight hundred".