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228646260 = 223351724907
BaseRepresentation
bin11011010000011…
…01110101110100
3120221020102201000
431220031311310
5432013140020
634404403300
75444314113
oct1550156564
9527212630
10228646260
11108079357
12646a6530
13384a705b
142251bc7a
1515117090
hexda0dd74

228646260 has 96 divisors (see below), whose sum is σ = 753217920. Its totient is φ = 57383424.

The previous prime is 228646241. The next prime is 228646261. The reversal of 228646260 is 62646822.

228646260 is a `hidden beast` number, since 2 + 2 + 8 + 646 + 2 + 6 + 0 = 666.

It is a super-2 number, since 2×2286462602 = 104558224423975200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228646261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3274 + ... + 21633.

It is an arithmetic number, because the mean of its divisors is an integer number (7846020).

Almost surely, 2228646260 is an apocalyptic number.

228646260 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 228646260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376608960).

228646260 is an abundant number, since it is smaller than the sum of its proper divisors (524571660).

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

228646260 is a wasteful number, since it uses less digits than its factorization.

228646260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24942 (or 24934 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 228646260 is about 15121.0535347244. The cubic root of 228646260 is about 611.4881340953.

The spelling of 228646260 in words is "two hundred twenty-eight million, six hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 24907 49814 74721 99628 124535 149442 224163 249070 298884 373605 423419 448326 498140 672489 747210 846838 896652 1120815 1270257 1344978 1494420 1693676 2117095 2241630 2540514 2689956 3362445 3810771 4234190 4483260 5081028 6351285 6724890 7621542 8468380 11432313 12702570 13449780 15243084 19053855 22864626 25405140 38107710 45729252 57161565 76215420 114323130 228646260