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2001443220 = 2232572376133
BaseRepresentation
bin111011101001011…
…1001100110010100
312011111001211221200
41313102321212110
513044332140340
6530333512500
7100411662300
oct16722714624
95144054850
102001443220
11937842a07
1247a342730
1325b86123a
1414db52d00
15baa9a330
hex774b9994

2001443220 has 216 divisors, whose sum is σ = 7254289224. Its totient is φ = 445036032.

The previous prime is 2001443209. The next prime is 2001443237. The reversal of 2001443220 is 223441002.

2001443220 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 443 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1134611856 + 866831364 = 33684^2 + 29442^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2001443193 and 2001443202.

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 71 ways as a sum of consecutive naturals, for example, 323274 + ... + 329406.

Almost surely, 22001443220 is an apocalyptic number.

2001443220 is a gapful number since it is divisible by the number (20) 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 2001443220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627144612).

2001443220 is an abundant number, since it is smaller than the sum of its proper divisors (5252846004).

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

2001443220 is a wasteful number, since it uses less digits than its factorization.

2001443220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2001443220 is about 44737.4923302592. The cubic root of 2001443220 is about 1260.2240342373.

Adding to 2001443220 its reverse (223441002), we get a palindrome (2224884222).

The spelling of 2001443220 in words is "two billion, one million, four hundred forty-three thousand, two hundred twenty".