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228740560 = 24518115797
BaseRepresentation
bin11011010001001…
…00110111010000
3120221102020001121
431220210313100
5432024144220
634410412024
75445156046
oct1550446720
9527366047
10228740560
11108133194
1264731014
133850ac59
1422544396
1515134eaa
hexda24dd0

228740560 has 40 divisors (see below), whose sum is σ = 534793896. Its totient is φ = 90984960.

The previous prime is 228740557. The next prime is 228740579. The reversal of 228740560 is 65047822.

228740560 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 4 ways, for example, as 2298256 + 226442304 = 1516^2 + 15048^2 .

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

It is a super-2 number, since 2×2287405602 = 104644487578227200, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6582 + ... + 22378.

Almost surely, 2228740560 is an apocalyptic number.

228740560 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 228740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267396948).

228740560 is an abundant number, since it is smaller than the sum of its proper divisors (306053336).

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

228740560 is a wasteful number, since it uses less digits than its factorization.

228740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15991 (or 15985 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 228740560 is about 15124.1713822609. The cubic root of 228740560 is about 611.5721873771.

The spelling of 228740560 in words is "two hundred twenty-eight million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 15797 31594 63188 78985 126376 157970 252752 315940 631880 1263760 2859257 5718514 11437028 14296285 22874056 28592570 45748112 57185140 114370280 228740560