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289450224 = 243273159157
BaseRepresentation
bin10001010000001…
…010100011110000
3202011122121001200
4101100022203300
51043044401344
644415531200
710113200130
oct2120124360
9664577050
10289450224
11139429268
1280b29b00
1347c75c2b
142a628ac0
151a628069
hex1140a8f0

289450224 has 240 divisors, whose sum is σ = 978032640. Its totient is φ = 78174720.

The previous prime is 289450219. The next prime is 289450229. The reversal of 289450224 is 422054982.

289450224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (289450219) and next prime (289450229).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289450229) 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, 1843554 + ... + 1843710.

It is an arithmetic number, because the mean of its divisors is an integer number (4075136).

Almost surely, 2289450224 is an apocalyptic number.

289450224 is a gapful number since it is divisible by the number (24) 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 289450224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489016320).

289450224 is an abundant number, since it is smaller than the sum of its proper divisors (688582416).

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

289450224 is a wasteful number, since it uses less digits than its factorization.

289450224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 289450224 is about 17013.2367290883. The cubic root of 289450224 is about 661.4920513988.

The spelling of 289450224 in words is "two hundred eighty-nine million, four hundred fifty thousand, two hundred twenty-four".