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288360228 = 223134767587
BaseRepresentation
bin10001001100000…
…000011100100100
3202002121012212110
4101030000130210
51042310011403
644340321020
710101010242
oct2114003444
9662535773
10288360228
11138854342
12806a3170
1347983a70
142a423792
151a4b0103
hex11300724

288360228 has 96 divisors (see below), whose sum is σ = 752338944. Its totient is φ = 85396608.

The previous prime is 288360221. The next prime is 288360313. The reversal of 288360228 is 822063882.

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

It is not an unprimeable number, because it can be changed into a prime (288360221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490951 + ... + 491537.

It is an arithmetic number, because the mean of its divisors is an integer number (7836864).

Almost surely, 2288360228 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 288360228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376169472).

288360228 is an abundant number, since it is smaller than the sum of its proper divisors (463978716).

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

288360228 is a wasteful number, since it uses less digits than its factorization.

288360228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 288360228 is about 16981.1727510205. The cubic root of 288360228 is about 660.6606699356.

The spelling of 288360228 in words is "two hundred eighty-eight million, three hundred sixty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 67 78 94 134 141 156 188 201 268 282 402 564 587 611 804 871 1174 1222 1742 1761 1833 2348 2444 2613 3149 3484 3522 3666 5226 6298 7044 7332 7631 9447 10452 12596 15262 18894 22893 27589 30524 37788 39329 40937 45786 55178 78658 81874 82767 91572 110356 117987 122811 157316 163748 165534 235974 245622 331068 358657 471948 491244 511277 717314 1022554 1075971 1434628 1533831 1848463 2045108 2151942 3067662 3696926 4303884 5545389 6135324 7393852 11090778 22181556 24030019 48060038 72090057 96120076 144180114 288360228