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5435500224 = 263721153991
BaseRepresentation
bin1010000111111101…
…10010011011000000
3112000210212000120010
411003332302123000
542112442001344
62255205344520
7251460663300
oct50376623300
915023760503
105435500224
11233a21a850
121078408140
1368814c82b
14397c67600
1521c2cd8b9
hex143fb26c0

5435500224 has 336 divisors, whose sum is σ = 18613380096. Its totient is φ = 1383782400.

The previous prime is 5435500199. The next prime is 5435500229. The reversal of 5435500224 is 4220055345.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 5435500191 and 5435500200.

It is not an unprimeable number, because it can be changed into a prime (5435500229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5484369 + ... + 5485359.

Almost surely, 25435500224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306690048).

5435500224 is an abundant number, since it is smaller than the sum of its proper divisors (13177879872).

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

5435500224 is a wasteful number, since it uses less digits than its factorization.

5435500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5435500224 is about 73725.8450205896. The cubic root of 5435500224 is about 1758.2468147891.

Adding to 5435500224 its reverse (4220055345), we get a palindrome (9655555569).

The spelling of 5435500224 in words is "five billion, four hundred thirty-five million, five hundred thousand, two hundred twenty-four".