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4220225440 = 25526376409
BaseRepresentation
bin1111101110001011…
…1000011110100000
3101220010002122221221
43323202320132200
532120334203230
61534434024424
7206403216154
oct37342703640
911803078857
104220225440
111876230922
12999418114
1352343a922
142c06bd064
1519a77727a
hexfb8b87a0

4220225440 has 24 divisors (see below), whose sum is σ = 9970282980. Its totient is φ = 1688090112.

The previous prime is 4220225389. The next prime is 4220225441. The reversal of 4220225440 is 445220224.

It can be written as a sum of positive squares in 2 ways, for example, as 3869337616 + 350887824 = 62204^2 + 18732^2 .

It is not an unprimeable number, because it can be changed into a prime (4220225441) 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 3 ways as a sum of consecutive naturals, for example, 13188045 + ... + 13188364.

Almost surely, 24220225440 is an apocalyptic number.

4220225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220225440 is an abundant number, since it is smaller than the sum of its proper divisors (5750057540).

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

4220225440 is a wasteful number, since it uses less digits than its factorization.

4220225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26376424 (or 26376416 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 4220225440 is about 64963.2622333577. The cubic root of 4220225440 is about 1616.0143652940.

Adding to 4220225440 its reverse (445220224), we get a palindrome (4665445664).

The spelling of 4220225440 in words is "four billion, two hundred twenty million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26376409 52752818 105505636 131882045 211011272 263764090 422022544 527528180 844045088 1055056360 2110112720 4220225440