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228295080 = 233251348781
BaseRepresentation
bin11011001101110…
…00000110101000
3120220120120222100
431212320012220
5431420420310
634353053400
75441322216
oct1546700650
9526516870
10228295080
11107959522
1264557260
13383b3260
1422469cb6
1515097ec0
hexd9b81a8

228295080 has 96 divisors (see below), whose sum is σ = 799049160. Its totient is φ = 56194560.

The previous prime is 228295021. The next prime is 228295087. The reversal of 228295080 is 80592822.

It can be written as a sum of positive squares in 4 ways, for example, as 75377124 + 152917956 = 8682^2 + 12366^2 .

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

It is not an unprimeable number, because it can be changed into a prime (228295087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19711 + ... + 29070.

Almost surely, 2228295080 is an apocalyptic number.

228295080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228295080 is an abundant number, since it is smaller than the sum of its proper divisors (570754080).

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

228295080 is a wasteful number, since it uses less digits than its factorization.

228295080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48811 (or 48804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 228295080 is about 15109.4367863266. The cubic root of 228295080 is about 611.1749101681.

The spelling of 228295080 in words is "two hundred twenty-eight million, two hundred ninety-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 48781 97562 146343 195124 243905 292686 390248 439029 487810 585372 634153 731715 878058 975620 1170744 1268306 1463430 1756116 1902459 1951240 2195145 2536612 2926860 3170765 3512232 3804918 4390290 5073224 5707377 5853720 6341530 7609836 8780580 9512295 11414754 12683060 15219672 17561160 19024590 22829508 25366120 28536885 38049180 45659016 57073770 76098360 114147540 228295080