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8225502720 = 293510211049
BaseRepresentation
bin1111010100100011…
…10011011000000000
3210020020201211110220
413222101303120000
5113321212041340
63440113023040
7410556422331
oct75221633000
923206654426
108225502720
113541099a36
121716854a80
13a11189396
14580608288
153321e0ed0
hex1ea473600

8225502720 has 160 divisors (see below), whose sum is σ = 26346751200. Its totient is φ = 2189230080.

The previous prime is 8225502689. The next prime is 8225502739. The reversal of 8225502720 is 272055228.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7840756 + ... + 7841804.

It is an arithmetic number, because the mean of its divisors is an integer number (164667195).

Almost surely, 28225502720 is an apocalyptic number.

8225502720 is a gapful number since it is divisible by the number (80) 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 8225502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173375600).

8225502720 is an abundant number, since it is smaller than the sum of its proper divisors (18121248480).

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

8225502720 is a wasteful number, since it uses less digits than its factorization.

8225502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 8225502720 is about 90694.5572788136. The cubic root of 8225502720 is about 2018.6180398300.

Adding to 8225502720 its reverse (272055228), we get a palindrome (8497557948).

The spelling of 8225502720 in words is "eight billion, two hundred twenty-five million, five hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1021 1049 1280 1536 1920 2042 2098 2560 3063 3147 3840 4084 4196 5105 5245 6126 6294 7680 8168 8392 10210 10490 12252 12588 15315 15735 16336 16784 20420 20980 24504 25176 30630 31470 32672 33568 40840 41960 49008 50352 61260 62940 65344 67136 81680 83920 98016 100704 122520 125880 130688 134272 163360 167840 196032 201408 245040 251760 261376 268544 326720 335680 392064 402816 490080 503520 522752 537088 653440 671360 784128 805632 980160 1007040 1071029 1306880 1342720 1568256 1611264 1960320 2014080 2142058 2613760 2685440 3213087 3920640 4028160 4284116 5355145 6426174 7841280 8056320 8568232 10710290 12852348 16065435 17136464 21420580 25704696 32130870 34272928 42841160 51409392 64261740 68545856 85682320 102818784 128523480 137091712 171364640 205637568 257046960 274183424 342729280 411275136 514093920 548366848 685458560 822550272 1028187840 1370917120 1645100544 2056375680 2741834240 4112751360 8225502720