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228475200 = 2635247599
BaseRepresentation
bin11011001111001…
…00000101000000
3120220220202001110
431213210011000
5431442201300
634401003320
75443002312
oct1547440500
9526822043
10228475200
11107a71888
1264623540
1338447235
14224b57b2
15150d1550
hexd9e4140

228475200 has 84 divisors (see below), whose sum is σ = 749604800. Its totient is φ = 60925440.

The previous prime is 228475183. The next prime is 228475207. The reversal of 228475200 is 2574822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228475207) 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 11 ways as a sum of consecutive naturals, for example, 19000 + ... + 28599.

Almost surely, 2228475200 is an apocalyptic number.

228475200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228475200 is an abundant number, since it is smaller than the sum of its proper divisors (521129600).

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

228475200 is a wasteful number, since it uses less digits than its factorization.

228475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47624 (or 47609 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 228475200 is about 15115.3961244818. The cubic root of 228475200 is about 611.3356026164.

The spelling of 228475200 in words is "two hundred twenty-eight million, four hundred seventy-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 47599 95198 142797 190396 237995 285594 380792 475990 571188 713985 761584 951980 1142376 1189975 1427970 1523168 1903960 2284752 2379950 2855940 3046336 3569925 3807920 4569504 4759900 5711880 7139850 7615840 9139008 9519800 11423760 14279700 15231680 19039600 22847520 28559400 38079200 45695040 57118800 76158400 114237600 228475200