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228828054 = 237133747241
BaseRepresentation
bin11011010001110…
…10001110010110
3120221120200002010
431220322032112
5432034444204
634412325050
75446002120
oct1550721626
9527520063
10228828054
111081929a4
1264773786
133853ba20
1422568210
1515150d89
hexda3a396

228828054 has 128 divisors (see below), whose sum is σ = 593252352. Its totient is φ = 57231360.

The previous prime is 228828053. The next prime is 228828059. The reversal of 228828054 is 450828822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228828053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949374 + ... + 949614.

It is an arithmetic number, because the mean of its divisors is an integer number (4634784).

Almost surely, 2228828054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228828054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296626176).

228828054 is an abundant number, since it is smaller than the sum of its proper divisors (364424298).

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

228828054 is a wasteful number, since it uses less digits than its factorization.

228828054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 228828054 is about 15127.0636278162. The cubic root of 228828054 is about 611.6501535468.

The spelling of 228828054 in words is "two hundred twenty-eight million, eight hundred twenty-eight thousand, fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 47 74 78 91 94 111 141 182 222 241 259 273 282 329 481 482 518 546 611 658 723 777 962 987 1222 1443 1446 1554 1687 1739 1833 1974 2886 3133 3367 3374 3478 3666 4277 5061 5217 6266 6734 8554 8917 9399 10101 10122 10434 11327 12173 12831 17834 18798 20202 21931 22607 22654 24346 25662 26751 33981 36519 43862 45214 53502 62419 65793 67821 67962 73038 79289 115921 124838 131586 135642 147251 158249 158578 187257 231842 237867 294502 316498 347763 374514 419099 441753 474747 475734 695526 811447 838198 883506 949494 1030757 1257297 1622894 2061514 2434341 2514594 2933693 3092271 4868682 5448287 5867386 6184542 8801079 10896574 16344861 17602158 32689722 38138009 76276018 114414027 228828054