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228991200 = 2535295413
BaseRepresentation
bin11011010011000…
…10000011100000
3120221212221212120
431221202003200
5432110204300
634420024240
75450251554
oct1551420340
9527787776
10228991200
11108294529
1264832080
1338598069
14225ab864
15151843a0
hexda620e0

228991200 has 72 divisors (see below), whose sum is σ = 745374168. Its totient is φ = 61063680.

The previous prime is 228991183. The next prime is 228991303. The reversal of 228991200 is 2199822.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 45307 + ... + 50106.

It is an arithmetic number, because the mean of its divisors is an integer number (10352419).

Almost surely, 2228991200 is an apocalyptic number.

228991200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228991200 is an abundant number, since it is smaller than the sum of its proper divisors (516382968).

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

228991200 is a wasteful number, since it uses less digits than its factorization.

228991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95436 (or 95423 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 228991200 is about 15132.4551874440. The cubic root of 228991200 is about 611.7954803813.

The spelling of 228991200 in words is "two hundred twenty-eight million, nine hundred ninety-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 95413 190826 286239 381652 477065 572478 763304 954130 1144956 1431195 1526608 1908260 2289912 2385325 2862390 3053216 3816520 4579824 4770650 5724780 7155975 7633040 9159648 9541300 11449560 14311950 15266080 19082600 22899120 28623900 38165200 45798240 57247800 76330400 114495600 228991200