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228642120 = 23325790731
BaseRepresentation
bin11011010000011…
…00110101001000
3120221020020000200
431220030311020
5432013021440
634404332200
75444266050
oct1550146510
9527206020
10228642120
11108076233
12646a4060
13384a51c5
142251a560
1515115c30
hexda0cd48

228642120 has 96 divisors (see below), whose sum is σ = 849251520. Its totient is φ = 52260480.

The previous prime is 228642109. The next prime is 228642121. The reversal of 228642120 is 21246822.

It is a happy number.

228642120 is a `hidden beast` number, since 2 + 2 + 8 + 642 + 12 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (228642121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42846 + ... + 47885.

It is an arithmetic number, because the mean of its divisors is an integer number (8846370).

Almost surely, 2228642120 is an apocalyptic number.

228642120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228642120 is an abundant number, since it is smaller than the sum of its proper divisors (620609400).

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

228642120 is a wasteful number, since it uses less digits than its factorization.

228642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90755 (or 90748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228642120 is about 15120.9166388814. The cubic root of 228642120 is about 611.4844434217.

Adding to 228642120 its reverse (21246822), we get a palindrome (249888942).

The spelling of 228642120 in words is "two hundred twenty-eight million, six hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 90731 181462 272193 362924 453655 544386 635117 725848 816579 907310 1088772 1270234 1360965 1633158 1814620 1905351 2177544 2540468 2721930 3175585 3266316 3629240 3810702 4082895 5080936 5443860 5716053 6351170 6532632 7621404 8165790 9526755 10887720 11432106 12702340 15242808 16331580 19053510 22864212 25404680 28580265 32663160 38107020 45728424 57160530 76214040 114321060 228642120