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228955116 = 2231321729229
BaseRepresentation
bin11011010010110…
…01001111101100
3120221211010101010
431221121033230
5432103030431
634415145220
75450041425
oct1551311754
9527733333
10228955116
1110826a405
1264815210
1338584800
142259c64c
1515178846
hexda593ec

228955116 has 144 divisors (see below), whose sum is σ = 636400800. Its totient is φ = 63737856.

The previous prime is 228955043. The next prime is 228955121. The reversal of 228955116 is 611559822.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999690 + ... + 999918.

It is an arithmetic number, because the mean of its divisors is an integer number (4419450).

Almost surely, 2228955116 is an apocalyptic number.

228955116 is a gapful number since it is divisible by the number (26) 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 228955116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318200400).

228955116 is an abundant number, since it is smaller than the sum of its proper divisors (407445684).

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

228955116 is a wasteful number, since it uses less digits than its factorization.

228955116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 228955116 is about 15131.2628686438. The cubic root of 228955116 is about 611.7633435019.

The spelling of 228955116 in words is "two hundred twenty-eight million, nine hundred fifty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 169 174 204 221 229 338 348 377 442 458 493 507 663 676 687 754 884 916 986 1014 1131 1326 1374 1479 1508 1972 2028 2262 2652 2748 2873 2958 2977 3893 4524 4901 5746 5916 5954 6409 6641 7786 8619 8931 9802 11492 11679 11908 12818 13282 14703 15572 17238 17862 19227 19604 19923 23358 25636 26564 29406 34476 35724 38454 38701 39846 46716 50609 58812 76908 77402 79692 83317 86333 101218 112897 116103 151827 154804 166634 172666 202436 225794 232206 249951 258999 303654 333268 338691 345332 451588 464412 499902 517998 607308 657917 677382 999804 1035996 1122329 1315834 1354764 1467661 1973751 2244658 2631668 2935322 3366987 3947502 4402983 4489316 5870644 6733974 7895004 8805966 13467948 17611932 19079593 38159186 57238779 76318372 114477558 228955116