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226560640 = 275354001
BaseRepresentation
bin11011000000100…
…00101010000000
3120210022110202211
431200100222000
5430444420030
634251551504
75420506435
oct1540205200
9523273684
10226560640
111069843a9
1263a5b594
1337c26967
1422137b8c
1514d5412a
hexd810a80

226560640 has 32 divisors (see below), whose sum is σ = 541623060. Its totient is φ = 90624000.

The previous prime is 226560619. The next prime is 226560647. The reversal of 226560640 is 46065622.

It can be written as a sum of positive squares in 2 ways, for example, as 226442304 + 118336 = 15048^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226560647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176361 + ... + 177640.

Almost surely, 2226560640 is an apocalyptic number.

226560640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226560640 is an abundant number, since it is smaller than the sum of its proper divisors (315062420).

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

226560640 is an equidigital number, since it uses as much as digits as its factorization.

226560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354020 (or 354008 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 226560640 is about 15051.9314375265. The cubic root of 226560640 is about 609.6232018596.

The spelling of 226560640 in words is "two hundred twenty-six million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 354001 708002 1416004 1770005 2832008 3540010 5664016 7080020 11328032 14160040 22656064 28320080 45312128 56640160 113280320 226560640