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228203136 = 273379433
BaseRepresentation
bin11011001101000…
…01101010000000
3120220101220212000
431212201222000
5431410000021
634351104000
75440460160
oct1546415200
9526356760
10228203136
111078a6437
1264512000
1338380455
14224445a0
151507ab26
hexd9a1a80

228203136 has 128 divisors (see below), whose sum is σ = 769814400. Its totient is φ = 65193984.

The previous prime is 228203083. The next prime is 228203147. The reversal of 228203136 is 631302822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 19476 + ... + 28908.

It is an arithmetic number, because the mean of its divisors is an integer number (6014175).

Almost surely, 2228203136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384907200).

228203136 is an abundant number, since it is smaller than the sum of its proper divisors (541611264).

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

228203136 is an equidigital number, since it uses as much as digits as its factorization.

228203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 228203136 is about 15106.3938780902. The cubic root of 228203136 is about 611.0928505643.

Adding to 228203136 its reverse (631302822), we get a palindrome (859505958).

The spelling of 228203136 in words is "two hundred twenty-eight million, two hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 9433 12096 18866 24192 28299 37732 56598 66031 75464 84897 113196 132062 150928 169794 198093 226392 254691 264124 301856 339588 396186 452784 509382 528248 594279 603712 679176 792372 905568 1018764 1056496 1188558 1207424 1358352 1584744 1782837 1811136 2037528 2112992 2377116 2716704 3169488 3565674 3622272 4075056 4225984 4754232 5433408 6338976 7131348 8150112 8451968 9508464 10866816 12677952 14262696 16300224 19016928 25355904 28525392 32600448 38033856 57050784 76067712 114101568 228203136