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6440024220 = 2235725759663
BaseRepresentation
bin1011111111101101…
…01111100010011100
3121121211001010102120
411333312233202130
5101142121233340
62543012022540
7315406205550
oct57766574234
917554033376
106440024220
112805253573
1212b8901a50
137b82b1c26
14451431860
1527a5a54d0
hex17fdaf89c

6440024220 has 96 divisors (see below), whose sum is σ = 20688611328. Its totient is φ = 1466253312.

The previous prime is 6440024191. The next prime is 6440024251. The reversal of 6440024220 is 224200446.

It is a congruent number.

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, 78109 + ... + 137771.

It is an arithmetic number, because the mean of its divisors is an integer number (215506368).

Almost surely, 26440024220 is an apocalyptic number.

6440024220 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 6440024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344305664).

6440024220 is an abundant number, since it is smaller than the sum of its proper divisors (14248587108).

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

6440024220 is a wasteful number, since it uses less digits than its factorization.

6440024220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59939 (or 59937 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6440024220 is about 80249.7614949727. The cubic root of 6440024220 is about 1860.4978260474.

Adding to 6440024220 its reverse (224200446), we get a palindrome (6664224666).

The spelling of 6440024220 in words is "six billion, four hundred forty million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 257 420 514 771 1028 1285 1542 1799 2570 3084 3598 3855 5140 5397 7196 7710 8995 10794 15420 17990 21588 26985 35980 53970 59663 107940 119326 178989 238652 298315 357978 417641 596630 715956 835282 894945 1193260 1252923 1670564 1789890 2088205 2505846 3579780 4176410 5011692 6264615 8352820 12529230 15333391 25058460 30666782 46000173 61333564 76666955 92000346 107333737 153333910 184000692 214667474 230000865 306667820 322001211 429334948 460001730 536668685 644002422 920003460 1073337370 1288004844 1610006055 2146674740 3220012110 6440024220