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225582850120 = 2355639571253
BaseRepresentation
bin1101001000010111001…
…0010010000001001000
3210120021020221010100211
43102011302102001020
512143443202200440
6251344211210504
722204103405605
oct3220562220110
9716236833324
10225582850120
118773a702141
12378772a6a34
1318370528204
14acbda296ac
155d043c7eea
hex3485c92048

225582850120 has 16 divisors (see below), whose sum is σ = 507561412860. Its totient is φ = 90233140032.

The previous prime is 225582850091. The next prime is 225582850189. The reversal of 225582850120 is 21058285522.

It can be written as a sum of positive squares in 2 ways, for example, as 194387519236 + 31195330884 = 440894^2 + 176622^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 5639571253 = 225582850120 / (2 + 2 + 5 + 5 + 8 + 2 + 8 + 5 + 0 + 1 + 2 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2819785587 + ... + 2819785666.

Almost surely, 2225582850120 is an apocalyptic number.

225582850120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225582850120 is an abundant number, since it is smaller than the sum of its proper divisors (281978562740).

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

225582850120 is a wasteful number, since it uses less digits than its factorization.

225582850120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639571264 (or 5639571260 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 40.

The spelling of 225582850120 in words is "two hundred twenty-five billion, five hundred eighty-two million, eight hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5639571253 11279142506 22558285012 28197856265 45116570024 56395712530 112791425060 225582850120