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225503283519360 = 273557113198191
BaseRepresentation
bin110011010001100000010011…
…000111000001111110000000
31002120102220101112221110200000
4303101200103013001332000
5214024121211040104420
62115334440040400000
765333034404413050
oct6321402307017600
91076386345843600
10225503283519360
1165941450763000
1221360069476000
1398a9b39b166b2
143d985ba977560
151b10cd0674690
hexcd18131c1f80

225503283519360 has 3072 divisors, whose sum is σ = 1068670491033600. Its totient is φ = 44386204262400.

The previous prime is 225503283519347. The next prime is 225503283519389. The reversal of 225503283519360 is 63915382305522.

225503283519360 is a `hidden beast` number, since 2 + 2 + 5 + 503 + 2 + 83 + 51 + 9 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 225503283519297 and 225503283519306.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 27530612865 + ... + 27530621055.

It is an arithmetic number, because the mean of its divisors is an integer number (347874508800).

Almost surely, 2225503283519360 is an apocalyptic number.

225503283519360 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 225503283519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534335245516800).

225503283519360 is an abundant number, since it is smaller than the sum of its proper divisors (843167207514240).

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

225503283519360 is an equidigital number, since it uses as much as digits as its factorization.

225503283519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 225503283519360 in words is "two hundred twenty-five trillion, five hundred three billion, two hundred eighty-three million, five hundred nineteen thousand, three hundred sixty".