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6485333220 = 223252910112301
BaseRepresentation
bin1100000101000111…
…00101010011100100
3121201222022001200200
412002203211103210
5101240221130340
62551311110500
7316466265012
oct60243452344
917658261620
106485333220
11282888a923
12130bb12430
137c47b70a2
144574678b2
1527e555330
hex1828e54e4

6485333220 has 144 divisors (see below), whose sum is σ = 20553689520. Its totient is φ = 1653120000.

The previous prime is 6485333203. The next prime is 6485333227. The reversal of 6485333220 is 223335846.

It is a happy number.

6485333220 is a `hidden beast` number, since 648 + 5 + 3 + 3 + 3 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 163175076 + 6322158144 = 12774^2 + 79512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6485333227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521070 + ... + 533370.

It is an arithmetic number, because the mean of its divisors is an integer number (142733955).

Almost surely, 26485333220 is an apocalyptic number.

6485333220 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 6485333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276844760).

6485333220 is an abundant number, since it is smaller than the sum of its proper divisors (14068356300).

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

6485333220 is a wasteful number, since it uses less digits than its factorization.

6485333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6485333220 is about 80531.5666058968. The cubic root of 6485333220 is about 1864.8508310519.

The spelling of 6485333220 in words is "six billion, four hundred eighty-five million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 101 116 145 174 180 202 261 290 303 348 404 435 505 522 580 606 870 909 1010 1044 1212 1305 1515 1740 1818 2020 2610 2929 3030 3636 4545 5220 5858 6060 8787 9090 11716 12301 14645 17574 18180 24602 26361 29290 35148 36903 43935 49204 52722 58580 61505 73806 87870 105444 110709 123010 131805 147612 175740 184515 221418 246020 263610 356729 369030 442836 527220 553545 713458 738060 1070187 1107090 1242401 1426916 1783645 2140374 2214180 2484802 3210561 3567290 3727203 4280748 4969604 5350935 6212005 6421122 7134580 7454406 10701870 11181609 12424010 12842244 14908812 16052805 18636015 21403740 22363218 24848020 32105610 36029629 37272030 44726436 55908045 64211220 72059258 74544060 108088887 111816090 144118516 180148145 216177774 223632180 324266661 360296290 432355548 540444435 648533322 720592580 1080888870 1297066644 1621333305 2161777740 3242666610 6485333220