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22482540000 = 253254295973
BaseRepresentation
bin10100111100000100…
…000101010111100000
32011000211212100220200
4110330010011113200
5332021012240000
614154530505200
71424065302564
oct247404052740
964024770820
1022482540000
119597898078
124435435200
132173b02b0b
141133cad6a4
158b8b98500
hex53c1055e0

22482540000 has 720 divisors, whose sum is σ = 85199914800. Its totient is φ = 5612544000.

The previous prime is 22482539987. The next prime is 22482540023. The reversal of 22482540000 is 4528422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 307979964 + ... + 307980036.

It is an arithmetic number, because the mean of its divisors is an integer number (118333215).

Almost surely, 222482540000 is an apocalyptic number.

22482540000 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 22482540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42599957400).

22482540000 is an abundant number, since it is smaller than the sum of its proper divisors (62717374800).

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

22482540000 is a wasteful number, since it uses less digits than its factorization.

22482540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 22482540000 in words is "twenty-two billion, four hundred eighty-two million, five hundred forty thousand".