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2249287320 = 233574096547
BaseRepresentation
bin1000011000010001…
…0110011010011000
312210202102122010210
42012010112122120
514101304143240
61011110011120
7106511424660
oct20604263230
95722378123
102249287320
11a54733945
12529346aa0
1329acca557
14174a2b1a0
15d2705780
hex86116698

2249287320 has 128 divisors (see below), whose sum is σ = 7731878400. Its totient is φ = 512787456.

The previous prime is 2249287307. The next prime is 2249287321. The reversal of 2249287320 is 237829422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249287321) 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, 340287 + ... + 346833.

It is an arithmetic number, because the mean of its divisors is an integer number (60405300).

Almost surely, 22249287320 is an apocalyptic number.

2249287320 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 2249287320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865939200).

2249287320 is an abundant number, since it is smaller than the sum of its proper divisors (5482591080).

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

2249287320 is a wasteful number, since it uses less digits than its factorization.

2249287320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2249287320 is about 47426.6520007474. The cubic root of 2249287320 is about 1310.2323306442.

The spelling of 2249287320 in words is "two billion, two hundred forty-nine million, two hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 409 420 818 840 1227 1636 2045 2454 2863 3272 4090 4908 5726 6135 6547 8180 8589 9816 11452 12270 13094 14315 16360 17178 19641 22904 24540 26188 28630 32735 34356 39282 42945 45829 49080 52376 57260 65470 68712 78564 85890 91658 98205 114520 130940 137487 157128 171780 183316 196410 229145 261880 274974 343560 366632 392820 458290 549948 687435 785640 916580 1099896 1374870 1833160 2677723 2749740 5355446 5499480 8033169 10710892 13388615 16066338 18744061 21421784 26777230 32132676 37488122 40165845 53554460 56232183 64265352 74976244 80331690 93720305 107108920 112464366 149952488 160663380 187440610 224928732 281160915 321326760 374881220 449857464 562321830 749762440 1124643660 2249287320