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228425184 = 2534136779
BaseRepresentation
bin11011001110101…
…11110111100000
3120220211012110000
431213113313200
5431434101214
634355540000
75442403431
oct1547276740
9526735400
10228425184
11107a38249
12645ba600
133842a540
14224a1488
15150c1809
hexd9d7de0

228425184 has 120 divisors (see below), whose sum is σ = 723575160. Its totient is φ = 70274304.

The previous prime is 228425179. The next prime is 228425207. The reversal of 228425184 is 481524822.

228425184 is a `hidden beast` number, since 228 + 425 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30307 + ... + 37085.

It is an arithmetic number, because the mean of its divisors is an integer number (6029793).

Almost surely, 2228425184 is an apocalyptic number.

228425184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228425184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361787580).

228425184 is an abundant number, since it is smaller than the sum of its proper divisors (495149976).

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

228425184 is a wasteful number, since it uses less digits than its factorization.

228425184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6797 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 228425184 is about 15113.7415619032. The cubic root of 228425184 is about 611.2909897613.

The spelling of 228425184 in words is "two hundred twenty-eight million, four hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 6779 8424 11232 13558 16848 20337 27116 33696 40674 54232 61011 81348 88127 108464 122022 162696 176254 183033 216928 244044 264381 325392 352508 366066 488088 528762 549099 650784 705016 732132 793143 976176 1057524 1098198 1410032 1464264 1586286 1952352 2115048 2196396 2379429 2820064 2928528 3172572 4230096 4392792 4758858 5857056 6345144 7138287 8460192 8785584 9517716 12690288 14276574 17571168 19035432 25380576 28553148 38070864 57106296 76141728 114212592 228425184