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228124900 = 22522281249
BaseRepresentation
bin11011001100011…
…10100011100100
3120220020221112101
431212032203210
5431344444100
634345301444
75440013113
oct1546164344
9526227471
10228124900
11107852683
1264494884
1338353963
1422423c7a
151506286a
hexd98e8e4

228124900 has 18 divisors (see below), whose sum is σ = 495031250. Its totient is φ = 91249920.

The previous prime is 228124867. The next prime is 228124931. The reversal of 228124900 is 9421822.

228124900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8433216 + 219691684 = 2904^2 + 14822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1140525 + ... + 1140724.

Almost surely, 2228124900 is an apocalyptic number.

228124900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228124900 is an abundant number, since it is smaller than the sum of its proper divisors (266906350).

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

228124900 is a wasteful number, since it uses less digits than its factorization.

228124900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281263 (or 2281256 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 228124900 is about 15103.8041565693. The cubic root of 228124900 is about 611.0230079294.

The spelling of 228124900 in words is "two hundred twenty-eight million, one hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2281249 4562498 9124996 11406245 22812490 45624980 57031225 114062450 228124900