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228480480 = 2533552889
BaseRepresentation
bin11011001111001…
…01010111100000
3120220221000022000
431213211113200
5431442333410
634401044000
75443023564
oct1547452740
9526830260
10228480480
11107a75848
1264626600
1338449767
14224b76a4
15150d2dc0
hexd9e55e0

228480480 has 96 divisors (see below), whose sum is σ = 799696800. Its totient is φ = 60926976.

The previous prime is 228480479. The next prime is 228480487. The reversal of 228480480 is 84084822.

228480480 is a `hidden beast` number, since 22 + 84 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (228480487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22125 + ... + 30764.

It is an arithmetic number, because the mean of its divisors is an integer number (8330175).

Almost surely, 2228480480 is an apocalyptic number.

228480480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228480480 is an abundant number, since it is smaller than the sum of its proper divisors (571216320).

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

228480480 is a wasteful number, since it uses less digits than its factorization.

228480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52913 (or 52899 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 228480480 is about 15115.5707798283. The cubic root of 228480480 is about 611.3403118468.

The spelling of 228480480 in words is "two hundred twenty-eight million, four hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 52889 105778 158667 211556 264445 317334 423112 476001 528890 634668 793335 846224 952002 1057780 1269336 1428003 1586670 1692448 1904004 2115560 2380005 2538672 2856006 3173340 3808008 4231120 4760010 5077344 5712012 6346680 7140015 7616016 8462240 9520020 11424024 12693360 14280030 15232032 19040040 22848048 25386720 28560060 38080080 45696096 57120120 76160160 114240240 228480480