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228580056 = 23341732039
BaseRepresentation
bin11011001111111…
…01101011011000
3120221010001220000
431213331223120
5432004030211
634403133000
75443620105
oct1547755330
9527101800
10228580056
11108033641
1264674160
1338482b93
1422501aac
1515102656
hexd9fdad8

228580056 has 80 divisors (see below), whose sum is σ = 644252400. Its totient is φ = 75715776.

The previous prime is 228580039. The next prime is 228580057. The reversal of 228580056 is 650085822.

228580056 is a `hidden beast` number, since 2 + 28 + 580 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228580056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228580057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111085 + ... + 113123.

It is an arithmetic number, because the mean of its divisors is an integer number (8053155).

Almost surely, 2228580056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228580056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322126200).

228580056 is an abundant number, since it is smaller than the sum of its proper divisors (415672344).

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

228580056 is a wasteful number, since it uses less digits than its factorization.

228580056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 228580056 is about 15118.8642430574. The cubic root of 228580056 is about 611.4291100694.

The spelling of 228580056 in words is "two hundred twenty-eight million, five hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 173 216 324 346 519 648 692 1038 1384 1557 2039 2076 3114 4078 4152 4671 6117 6228 8156 9342 12234 12456 14013 16312 18351 18684 24468 28026 36702 37368 48936 55053 56052 73404 110106 112104 146808 165159 220212 330318 352747 440424 660636 705494 1058241 1321272 1410988 2116482 2821976 3174723 4232964 6349446 8465928 9524169 12698892 19048338 25397784 28572507 38096676 57145014 76193352 114290028 228580056