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330117228 = 22337835261
BaseRepresentation
bin10011101011010…
…011000001101100
3212000011200201000
4103223103001230
51134002222403
652431320300
711115643620
oct2353230154
9760150630
10330117228
1115a384a61
1292680090
135351424c
1431bb3180
151deac7a3
hex13ad306c

330117228 has 96 divisors (see below), whose sum is σ = 990097920. Its totient is φ = 93165120.

The previous prime is 330117211. The next prime is 330117239. The reversal of 330117228 is 822711033.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60118 + ... + 65378.

It is an arithmetic number, because the mean of its divisors is an integer number (10313520).

Almost surely, 2330117228 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 330117228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495048960).

330117228 is an abundant number, since it is smaller than the sum of its proper divisors (659980692).

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

330117228 is a wasteful number, since it uses less digits than its factorization.

330117228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 330117228 is about 18169.1284325914. The cubic root of 330117228 is about 691.1241411009.

The spelling of 330117228 in words is "three hundred thirty million, one hundred seventeen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 5261 6972 8964 10458 10522 15687 15783 20916 21044 31374 31566 36827 47349 62748 63132 73654 94698 110481 142047 147308 189396 220962 284094 331443 436663 441924 568188 662886 873326 994329 1309989 1325772 1746652 1988658 2619978 3056641 3929967 3977316 5239956 6113282 7859934 9169923 11789901 12226564 15719868 18339846 23579802 27509769 36679692 47159604 55019538 82529307 110039076 165058614 330117228