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225240471500 = 22531131743463
BaseRepresentation
bin1101000111000101100…
…0001101011111001100
3210112101101200111012012
43101301120031133030
512142243030042000
6251250221000352
722162445263322
oct3216130153714
9715341614165
10225240471500
1187584413000
12377a06b30b8
1318317610005
14ac8a383d12
155cd42e7735
hex347160d7cc

225240471500 has 384 divisors, whose sum is σ = 587498655744. Its totient is φ = 75132288000.

The previous prime is 225240471499. The next prime is 225240471527. The reversal of 225240471500 is 5174042522.

225240471500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 486480269 + ... + 486480731.

It is an arithmetic number, because the mean of its divisors is an integer number (1529944416).

Almost surely, 2225240471500 is an apocalyptic number.

225240471500 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 225240471500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293749327872).

225240471500 is an abundant number, since it is smaller than the sum of its proper divisors (362258184244).

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

225240471500 is a wasteful number, since it uses less digits than its factorization.

225240471500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The spelling of 225240471500 in words is "two hundred twenty-five billion, two hundred forty million, four hundred seventy-one thousand, five hundred".