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228670080 = 2735119099
BaseRepresentation
bin11011010000100…
…11101010000000
3120221021122101020
431220103222000
5432014420310
634405105440
75444443422
oct1550235200
9527248336
10228670080
11108095241
12646b8280
13384b4b52
1422526812
151511e170
hexda13a80

228670080 has 64 divisors (see below), whose sum is σ = 728892000. Its totient is φ = 60978176.

The previous prime is 228670069. The next prime is 228670081. The reversal of 228670080 is 80076822.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (228670081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57630 + ... + 61469.

Almost surely, 2228670080 is an apocalyptic number.

228670080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228670080 is an abundant number, since it is smaller than the sum of its proper divisors (500221920).

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

228670080 is a wasteful number, since it uses less digits than its factorization.

228670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119121 (or 119109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 228670080 is about 15121.8411577427. The cubic root of 228670080 is about 611.5093679751.

The spelling of 228670080 in words is "two hundred twenty-eight million, six hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 119099 238198 357297 476396 595495 714594 952792 1190990 1429188 1786485 1905584 2381980 2858376 3572970 3811168 4763960 5716752 7145940 7622336 9527920 11433504 14291880 15244672 19055840 22867008 28583760 38111680 45734016 57167520 76223360 114335040 228670080