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4466115225 = 355211135397
BaseRepresentation
bin1000010100011001…
…11000001010011001
3102112020210011100000
410022030320022121
533121311141400
62015100203213
7215450232045
oct41214701231
912466704300
104466115225
111992007520
12a47839509
13562371540
14305209025
151b2148600
hex10a338299

4466115225 has 288 divisors, whose sum is σ = 10032107904. Its totient is φ = 1940889600.

The previous prime is 4466115193. The next prime is 4466115233. The reversal of 4466115225 is 5225116644.

4466115225 is a `hidden beast` number, since 446 + 61 + 152 + 2 + 5 = 666.

It is not a de Polignac number, because 4466115225 - 25 = 4466115193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4466115225.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 46042377 + ... + 46042473.

It is an arithmetic number, because the mean of its divisors is an integer number (34833708).

Almost surely, 24466115225 is an apocalyptic number.

4466115225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4466115225 is an abundant number, since it is smaller than the sum of its proper divisors (5565992679).

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

4466115225 is a wasteful number, since it uses less digits than its factorization.

4466115225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4466115225 is about 66828.9998802915. Note that the first 3 decimals coincide. The cubic root of 4466115225 is about 1646.8092884376.

The spelling of 4466115225 in words is "four billion, four hundred sixty-six million, one hundred fifteen thousand, two hundred twenty-five".