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225680560 = 2457403001
BaseRepresentation
bin11010111001110…
…01110010110000
3120201122202112021
431130321302300
5430233234220
634221041224
75410152550
oct1534716260
9521582467
10225680560
11106433166
12636b6214
13379a91c1
1421d89160
1514c2d4aa
hexd739cb0

225680560 has 40 divisors (see below), whose sum is σ = 599666976. Its totient is φ = 77376000.

The previous prime is 225680551. The next prime is 225680597. The reversal of 225680560 is 65086522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200941 + ... + 202060.

Almost surely, 2225680560 is an apocalyptic number.

225680560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225680560 is an abundant number, since it is smaller than the sum of its proper divisors (373986416).

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

225680560 is a wasteful number, since it uses less digits than its factorization.

225680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403021 (or 403015 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 225680560 is about 15022.6682050826. The cubic root of 225680560 is about 608.8328124447.

The spelling of 225680560 in words is "two hundred twenty-five million, six hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 403001 806002 1612004 2015005 2821007 3224008 4030010 5642014 6448016 8060020 11284028 14105035 16120040 22568056 28210070 32240080 45136112 56420140 112840280 225680560