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8220713540 = 2251356232
BaseRepresentation
bin1111010011111111…
…00010001001000100
3210012220201111221212
413221333202021010
5113314000313130
63435422230552
7410500624604
oct75177421104
923186644855
108220713540
113539418836
121715125458
13a101a0550
1457db1cc04
15331a96e95
hex1e9fe2244

8220713540 has 36 divisors (see below), whose sum is σ = 18594766764. Its totient is φ = 3034800576.

The previous prime is 8220713509. The next prime is 8220713551. The reversal of 8220713540 is 453170228.

It can be written as a sum of positive squares in 2 ways, for example, as 2023560256 + 6197153284 = 44984^2 + 78722^2 .

It is a super-2 number, since 2×82207135402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8220713497 and 8220713506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459169 + ... + 1464791.

It is an arithmetic number, because the mean of its divisors is an integer number (516521299).

Almost surely, 28220713540 is an apocalyptic number.

It is an amenable number.

8220713540 is an abundant number, since it is smaller than the sum of its proper divisors (10374053224).

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

8220713540 is an equidigital number, since it uses as much as digits as its factorization.

8220713540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 8220713540 is about 90668.1506373655. The cubic root of 8220713540 is about 2018.2261933845.

Adding to 8220713540 its reverse (453170228), we get a palindrome (8673883768).

The spelling of 8220713540 in words is "eight billion, two hundred twenty million, seven hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5623 11246 22492 28115 56230 73099 112460 146198 292396 365495 730990 1461980 31618129 63236258 126472516 158090645 316181290 411035677 632362580 822071354 1644142708 2055178385 4110356770 8220713540