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2284329520 = 245117973257
BaseRepresentation
bin1000100000101000…
…0001101000110000
312220012100222000001
42020022001220300
514134242021040
61014401035344
7110415323554
oct21012015060
95805328001
102284329520
11a72498640
12539025b54
132a5349595
1417954d864
15d582859a
hex88281a30

2284329520 has 80 divisors (see below), whose sum is σ = 5802941088. Its totient is φ = 829368320.

The previous prime is 2284329517. The next prime is 2284329527. The reversal of 2284329520 is 259234822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22843295202 = 10436322711886860800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2284329520.

It is not an unprimeable number, because it can be changed into a prime (2284329527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699732 + ... + 702988.

Almost surely, 22284329520 is an apocalyptic number.

2284329520 is a gapful number since it is divisible by the number (20) 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 2284329520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901470544).

2284329520 is an abundant number, since it is smaller than the sum of its proper divisors (3518611568).

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

2284329520 is a wasteful number, since it uses less digits than its factorization.

2284329520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2284329520 is about 47794.6599527604. The cubic root of 2284329520 is about 1317.0014426904.

The spelling of 2284329520 in words is "two billion, two hundred eighty-four million, three hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 797 880 1594 3188 3257 3985 6376 6514 7970 8767 12752 13028 15940 16285 17534 26056 31880 32570 35068 35827 43835 52112 63760 65140 70136 71654 87670 130280 140272 143308 175340 179135 260560 286616 350680 358270 573232 701360 716540 1433080 2595829 2866160 5191658 10383316 12979145 20766632 25958290 28554119 41533264 51916580 57108238 103833160 114216476 142770595 207666320 228432952 285541190 456865904 571082380 1142164760 2284329520