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220756880 = 2452759461
BaseRepresentation
bin11010010100001…
…11101110010000
3120101101121111202
431022013232100
5423003210010
633523330332
75320255031
oct1512075620
9511347452
10220756880
1110367aa03
1261b209a8
1336974096
1421466a88
15145a96a5
hexd287b90

220756880 has 20 divisors (see below), whose sum is σ = 513259932. Its totient is φ = 88302720.

The previous prime is 220756873. The next prime is 220756901. The reversal of 220756880 is 88657022.

It can be written as a sum of positive squares in 2 ways, for example, as 116553616 + 104203264 = 10796^2 + 10208^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1379651 + ... + 1379810.

Almost surely, 2220756880 is an apocalyptic number.

220756880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220756880 is an abundant number, since it is smaller than the sum of its proper divisors (292503052).

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

220756880 is a wasteful number, since it uses less digits than its factorization.

220756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759474 (or 2759468 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 220756880 is about 14857.8894867340. The cubic root of 220756880 is about 604.3725754171.

The spelling of 220756880 in words is "two hundred twenty million, seven hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2759461 5518922 11037844 13797305 22075688 27594610 44151376 55189220 110378440 220756880