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228191236 = 2272132832
BaseRepresentation
bin11011001100111…
…10110000000100
3120220101022112021
431212132300010
5431404104421
634350532524
75440410400
oct1546366004
9526338467
10228191236
111078984a9
1264507144
1338377c00
1422440100
1515077341
hexd99ec04

228191236 has 81 divisors (see below), whose sum is σ = 509147541. Its totient is φ = 89185824.

The previous prime is 228191209. The next prime is 228191237. The reversal of 228191236 is 632191822.

The square root of 228191236 is 15106.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33756100 + 194435136 = 5810^2 + 13944^2 .

It is not an unprimeable number, because it can be changed into a prime (228191237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2749251 + ... + 2749333.

Almost surely, 2228191236 is an apocalyptic number.

228191236 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

228191236 is the 15106-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228191236

228191236 is an abundant number, since it is smaller than the sum of its proper divisors (280956305).

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

228191236 is a wasteful number, since it uses less digits than its factorization.

228191236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The cubic root of 228191236 is about 611.0822282572.

The spelling of 228191236 in words is "two hundred twenty-eight million, one hundred ninety-one thousand, two hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 83 91 98 166 169 182 196 332 338 364 581 637 676 1079 1162 1183 1274 2158 2324 2366 2548 4067 4316 4732 6889 7553 8134 8281 13778 14027 15106 16268 16562 27556 28054 30212 33124 48223 52871 56108 89557 96446 98189 105742 179114 192892 196378 211484 337561 358228 392756 626899 675122 687323 1164241 1253798 1350244 1374646 2328482 2507596 2749292 4388293 4656964 8149687 8776586 16299374 17553172 32598748 57047809 114095618 228191236