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225049320704 = 281367622993
BaseRepresentation
bin1101000110010111111…
…1000001110100000000
3210111220002000000121002
43101211333001310000
512141400111230304
6251215231551132
722154634443345
oct3214577016400
9714802000532
10225049320704
118749652463a
123774868b4a8
13182b6b33830
14ac6cc267cc
155cc263a31e
hex3465fc1d00

225049320704 has 36 divisors (see below), whose sum is σ = 483774899076. Its totient is φ = 103868915712.

The previous prime is 225049320667. The next prime is 225049320707. The reversal of 225049320704 is 407023940522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19586562304 + 205462758400 = 139952^2 + 453280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225049320707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33808169 + ... + 33814824.

It is an arithmetic number, because the mean of its divisors is an integer number (13438191641).

Almost surely, 2225049320704 is an apocalyptic number.

It is an amenable number.

225049320704 is an abundant number, since it is smaller than the sum of its proper divisors (258725578372).

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

225049320704 is an equidigital number, since it uses as much as digits as its factorization.

225049320704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67623022 (or 67623008 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 225049320704 in words is "two hundred twenty-five billion, forty-nine million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 67622993 135245986 270491972 540983944 879098909 1081967888 1758197818 2163935776 3516395636 4327871552 7032791272 8655743104 14065582544 17311486208 28131165088 56262330176 112524660352 225049320704