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225766326573520 = 24511073125485899
BaseRepresentation
bin110011010101010101010001…
…101100101001100111010000
31002121101001100110212010110021
4303111111101230221213100
5214042423414100323040
62120055341342113224
765361036015445555
oct6325252154514720
91077331313763407
10225766326573520
1165a32a636a8957
12213a3039b7b814
1398c889a16ccc5
143da7211720a2c
151b17a7859724a
hexcd5551b299d0

225766326573520 has 40 divisors (see below), whose sum is σ = 524911470256800. Its totient is φ = 90305711537280.

The previous prime is 225766326573499. The next prime is 225766326573539. The reversal of 225766326573520 is 25375623667522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3884470 + ... + 21601429.

It is an arithmetic number, because the mean of its divisors is an integer number (13122786756420).

Almost surely, 2225766326573520 is an apocalyptic number.

225766326573520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225766326573520 is an abundant number, since it is smaller than the sum of its proper divisors (299145143683280).

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

225766326573520 is a wasteful number, since it uses less digits than its factorization.

225766326573520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25596643 (or 25596637 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 61.

The spelling of 225766326573520 in words is "two hundred twenty-five trillion, seven hundred sixty-six billion, three hundred twenty-six million, five hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 110731 221462 442924 553655 885848 1107310 1771696 2214620 4429240 8858480 25485899 50971798 101943596 127429495 203887192 254858990 407774384 509717980 1019435960 2038871920 2822079082169 5644158164338 11288316328676 14110395410845 22576632657352 28220790821690 45153265314704 56441581643380 112883163286760 225766326573520