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8220470640 = 2435972711303
BaseRepresentation
bin1111010011111101…
…00110110101110000
3210012220021011202120
413221332212311300
5113313420030030
63435413114240
7410465563464
oct75176466560
923186234676
108220470640
113539272298
121715028980
13a10116b15
1457da984a4
15331a4a010
hex1e9fa6d70

8220470640 has 160 divisors (see below), whose sum is σ = 25861011456. Its totient is φ = 2159861760.

The previous prime is 8220470639. The next prime is 8220470647. The reversal of 8220470640 is 460740228.

It is a super-2 number, since 2×82204706402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220470647) 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, 6308229 + ... + 6309531.

Almost surely, 28220470640 is an apocalyptic number.

8220470640 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 8220470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930505728).

8220470640 is an abundant number, since it is smaller than the sum of its proper divisors (17640540816).

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

8220470640 is a wasteful number, since it uses less digits than its factorization.

8220470640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 8220470640 is about 90666.8111273359. The cubic root of 8220470640 is about 2018.2063154680.

The spelling of 8220470640 in words is "eight billion, two hundred twenty million, four hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 271 291 388 485 542 582 776 813 970 1084 1164 1303 1355 1455 1552 1626 1940 2168 2328 2606 2710 2910 3252 3880 3909 4065 4336 4656 5212 5420 5820 6504 6515 7760 7818 8130 10424 10840 11640 13008 13030 15636 16260 19545 20848 21680 23280 26060 26287 31272 32520 39090 52120 52574 62544 65040 78180 78861 104240 105148 126391 131435 156360 157722 210296 252782 262870 312720 315444 353113 379173 394305 420592 505564 525740 630888 631955 706226 758346 788610 1011128 1051480 1059339 1261776 1263910 1412452 1516692 1577220 1765565 1895865 2022256 2102960 2118678 2527820 2824904 3033384 3154440 3531130 3791730 4237356 5055640 5296695 5649808 6066768 6308880 7062260 7583460 8474712 10111280 10593390 14124520 15166920 16949424 21186780 28249040 30333840 34251961 42373560 68503922 84747120 102755883 137007844 171259805 205511766 274015688 342519610 411023532 513779415 548031376 685039220 822047064 1027558830 1370078440 1644094128 2055117660 2740156880 4110235320 8220470640