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4067224001 = 37233471781
BaseRepresentation
bin1111001001101100…
…1110100111000001
3101111110012101102222
43302123032213001
531312202132001
61511330420425
7202534555631
oct36233164701
911443171388
104067224001
1117a7929655
12956131715
134ca82a829
142a82526c1
1518c10361b
hexf26ce9c1

4067224001 has 8 divisors (see below), whose sum is σ = 4195085544. Its totient is φ = 3940306560.

The previous prime is 4067223989. The next prime is 4067224019. The reversal of 4067224001 is 1004227604.

It can be written as a sum of positive squares in 4 ways, for example, as 400800400 + 3666423601 = 20020^2 + 60551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4067224001 - 210 = 4067222977 is a prime.

It is a super-2 number, since 2×40672240012 = 33084622148620896002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4067224501) 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 7 ways as a sum of consecutive naturals, for example, 227270 + ... + 244511.

It is an arithmetic number, because the mean of its divisors is an integer number (524385693).

Almost surely, 24067224001 is an apocalyptic number.

It is an amenable number.

4067224001 is a deficient number, since it is larger than the sum of its proper divisors (127861543).

4067224001 is a wasteful number, since it uses less digits than its factorization.

4067224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472051.

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 4067224001 is about 63774.7912658285. The cubic root of 4067224001 is about 1596.2443163029.

The spelling of 4067224001 in words is "four billion, sixty-seven million, two hundred twenty-four thousand, one".

Divisors: 1 37 233 8621 471781 17455897 109924973 4067224001