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6440006220 = 22352913926627
BaseRepresentation
bin1011111111101101…
…01011001001001100
3121121211000012201220
411333312223021030
5101142120144340
62543011403340
7315406102224
oct57766531114
917554005656
106440006220
112805240a9a
1212b88b3550
137b82a698b
14451429084
1527a59eed0
hex17fdab24c

6440006220 has 96 divisors (see below), whose sum is σ = 18788716800. Its totient is φ = 1646125824.

The previous prime is 6440006179. The next prime is 6440006257. The reversal of 6440006220 is 226000446.

It is a super-2 number, since 2×64400062202 = 82947360227277376800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228547 + ... + 255173.

It is an arithmetic number, because the mean of its divisors is an integer number (195715800).

Almost surely, 26440006220 is an apocalyptic number.

6440006220 is a gapful number since it is divisible by the number (60) 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 6440006220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394358400).

6440006220 is an abundant number, since it is smaller than the sum of its proper divisors (12348710580).

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

6440006220 is a wasteful number, since it uses less digits than its factorization.

6440006220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26807 (or 26805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6440006220 is about 80249.6493450283. The cubic root of 6440006220 is about 1860.4960926693.

Adding to 6440006220 its reverse (226000446), we get a palindrome (6666006666).

The spelling of 6440006220 in words is "six billion, four hundred forty million, six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 139 145 174 278 290 348 417 435 556 580 695 834 870 1390 1668 1740 2085 2780 4031 4170 8062 8340 12093 16124 20155 24186 26627 40310 48372 53254 60465 79881 80620 106508 120930 133135 159762 241860 266270 319524 399405 532540 772183 798810 1544366 1597620 2316549 3088732 3701153 3860915 4633098 7402306 7721830 9266196 11103459 11582745 14804612 15443660 18505765 22206918 23165490 37011530 44413836 46330980 55517295 74023060 107333437 111034590 214666874 222069180 322000311 429333748 536667185 644000622 1073334370 1288001244 1610001555 2146668740 3220003110 6440006220