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228448320 = 2635237967
BaseRepresentation
bin11011001110111…
…01100001000000
3120220212101011220
431213131201000
5431440321240
634400235040
75442531042
oct1547354100
9526771156
10228448320
11107a53671
126460ba80
1338437c29
14224a9a92
15150c85d0
hexd9dd840

228448320 has 56 divisors (see below), whose sum is σ = 725326464. Its totient is φ = 60919296.

The previous prime is 228448313. The next prime is 228448327. The reversal of 228448320 is 23844822.

It is an interprime number because it is at equal distance from previous prime (228448313) and next prime (228448327).

It is not an unprimeable number, because it can be changed into a prime (228448327) 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 7 ways as a sum of consecutive naturals, for example, 118024 + ... + 119943.

Almost surely, 2228448320 is an apocalyptic number.

228448320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228448320 is an abundant number, since it is smaller than the sum of its proper divisors (496878144).

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

228448320 is a wasteful number, since it uses less digits than its factorization.

228448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237987 (or 237977 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 228448320 is about 15114.5069386997. The cubic root of 228448320 is about 611.3116272272.

The spelling of 228448320 in words is "two hundred twenty-eight million, four hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 237967 475934 713901 951868 1189835 1427802 1903736 2379670 2855604 3569505 3807472 4759340 5711208 7139010 7614944 9518680 11422416 14278020 15229888 19037360 22844832 28556040 38074720 45689664 57112080 76149440 114224160 228448320