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225057773616 = 243132343675443
BaseRepresentation
bin1101000110011001111…
…1010001100000110000
3210111220122220110210220
43101212133101200300
512141404242223431
6251220133053040
722155066340404
oct3214637214060
9714818813726
10225057773616
11874a0278415
123774b487180
13182b8803160
14ac6ddc7104
155cc3259b96
hex34667d1830

225057773616 has 320 divisors, whose sum is σ = 678641897472. Its totient is φ = 63719986176.

The previous prime is 225057773609. The next prime is 225057773617. The reversal of 225057773616 is 616377750522.

It is not an unprimeable number, because it can be changed into a prime (225057773617) 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 63 ways as a sum of consecutive naturals, for example, 41345391 + ... + 41350833.

Almost surely, 2225057773616 is an apocalyptic number.

225057773616 is a gapful number since it is divisible by the number (26) 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 225057773616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339320948736).

225057773616 is an abundant number, since it is smaller than the sum of its proper divisors (453584123856).

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

225057773616 is a wasteful number, since it uses less digits than its factorization.

225057773616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 225057773616 in words is "two hundred twenty-five billion, fifty-seven million, seven hundred seventy-three thousand, six hundred sixteen".