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3220383816 = 2332133440581
BaseRepresentation
bin1011111111110011…
…0010100001001000
322022102201110002200
42333330302201020
523043404240231
61251320000200
7142542545046
oct27774624110
98272643080
103220383816
111402906031
1275a600060
133c4257870
142279b3396
1513cac7be6
hexbff32848

3220383816 has 48 divisors (see below), whose sum is σ = 9392788860. Its totient is φ = 990887040.

The previous prime is 3220383811. The next prime is 3220383823. The reversal of 3220383816 is 6183830223.

It can be written as a sum of positive squares in 2 ways, for example, as 3218292900 + 2090916 = 56730^2 + 1446^2 .

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 (3220383811) by changing a digit.

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, 1719355 + ... + 1721226.

Almost surely, 23220383816 is an apocalyptic number.

3220383816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3220383816 is an abundant number, since it is smaller than the sum of its proper divisors (6172405044).

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

3220383816 is a wasteful number, since it uses less digits than its factorization.

3220383816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440606 (or 3440599 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3220383816 is about 56748.4256697928. The cubic root of 3220383816 is about 1476.7349216486.

The spelling of 3220383816 in words is "three billion, two hundred twenty million, three hundred eighty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3440581 6881162 10321743 13762324 20643486 27524648 30965229 41286972 44727553 61930458 82573944 89455106 123860916 134182659 178910212 247721832 268365318 357820424 402547977 536730636 805095954 1073461272 1610191908 3220383816