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244455120 = 243257213241
BaseRepresentation
bin11101001001000…
…01011011010000
3122000222121101100
432210201123100
51000040030440
640131304400
76025556100
oct1644413320
9560877340
10244455120
11115a96828
1269a4b100
133b850900
1424675200
15166db230
hexe9216d0

244455120 has 540 divisors, whose sum is σ = 1059330636. Its totient is φ = 50319360.

The previous prime is 244455077. The next prime is 244455137. The reversal of 244455120 is 21554442.

244455120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 112021056 + 132434064 = 10584^2 + 11508^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5962300 + ... + 5962340.

Almost surely, 2244455120 is an apocalyptic number.

244455120 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 244455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529665318).

244455120 is an abundant number, since it is smaller than the sum of its proper divisors (814875516).

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

244455120 is a wasteful number, since it uses less digits than its factorization.

244455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 244455120 is about 15635.0606010978. The cubic root of 244455120 is about 625.2682539139.

The spelling of 244455120 in words is "two hundred forty-four million, four hundred fifty-five thousand, one hundred twenty".