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2002211440 = 24525027643
BaseRepresentation
bin111011101010111…
…0101001001110000
312011112111212202021
41313111311021300
513100031231230
6530402201224
7100421342065
oct16725651160
95145455667
102002211440
119382180a9
1247a653214
1325ba6cac8
1414dcb2c6c
15bab9cc7a
hex77575270

2002211440 has 20 divisors (see below), whose sum is σ = 4655141784. Its totient is φ = 800884544.

The previous prime is 2002211401. The next prime is 2002211441. The reversal of 2002211440 is 441122002.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211441) 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, 12513742 + ... + 12513901.

Almost surely, 22002211440 is an apocalyptic number.

2002211440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002211440 is an abundant number, since it is smaller than the sum of its proper divisors (2652930344).

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

2002211440 is a wasteful number, since it uses less digits than its factorization.

2002211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027656 (or 25027650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2002211440 is about 44746.0773699774. The cubic root of 2002211440 is about 1260.3852521454.

Adding to 2002211440 its reverse (441122002), we get a palindrome (2443333442).

The spelling of 2002211440 in words is "two billion, two million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25027643 50055286 100110572 125138215 200221144 250276430 400442288 500552860 1001105720 2002211440