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3220000400 = 24528050001
BaseRepresentation
bin1011111111101101…
…0100111010010000
322022101222222011002
42333323110322100
523043310003100
61251303441132
7142536360161
oct27773247220
98271888132
103220000400
111402673a61
1275a4561a8
133c41521a6
14227913768
1513ca4e2d5
hexbfed4e90

3220000400 has 30 divisors (see below), whose sum is σ = 7736051922. Its totient is φ = 1288000000.

The previous prime is 3220000393. The next prime is 3220000403. The reversal of 3220000400 is 40000223.

It can be written as a sum of positive squares in 3 ways, for example, as 42198016 + 3177802384 = 6496^2 + 56372^2 .

It is not an unprimeable number, because it can be changed into a prime (3220000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4024601 + ... + 4025400.

Almost surely, 23220000400 is an apocalyptic number.

It is an amenable number.

3220000400 is an abundant number, since it is smaller than the sum of its proper divisors (4516051522).

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

3220000400 is a wasteful number, since it uses less digits than its factorization.

3220000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050019 (or 8050008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3220000400 is about 56745.0473609812. The cubic root of 3220000400 is about 1476.6763130788.

Adding to 3220000400 its reverse (40000223), we get a palindrome (3260000623).

The spelling of 3220000400 in words is "three billion, two hundred twenty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 8050001 16100002 32200004 40250005 64400008 80500010 128800016 161000020 201250025 322000040 402500050 644000080 805000100 1610000200 3220000400