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4204023201 = 35719130079
BaseRepresentation
bin1111101010010100…
…0100110110100001
3101211222121111200000
43322211010312201
532102212220301
61533054450213
7206115415260
oct37245046641
911758544600
104204023201
111868074944
12993b03969
1351cc86cc1
142bc4a25d7
15199126786
hexfa944da1

4204023201 has 48 divisors (see below), whose sum is σ = 7575859200. Its totient is φ = 2275844688.

The previous prime is 4204023167. The next prime is 4204023203. The reversal of 4204023201 is 1023204024.

4204023201 is a `hidden beast` number, since 420 + 40 + 2 + 3 + 201 = 666.

4204023201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4204023201 - 26 = 4204023137 is a prime.

It is a super-3 number, since 3×42040232013 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4204023203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32721 + ... + 97358.

It is an arithmetic number, because the mean of its divisors is an integer number (157830400).

Almost surely, 24204023201 is an apocalyptic number.

It is an amenable number.

4204023201 is a deficient number, since it is larger than the sum of its proper divisors (3371835999).

4204023201 is a wasteful number, since it uses less digits than its factorization.

4204023201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130120 (or 130108 counting only the distinct ones).

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

The square root of 4204023201 is about 64838.4392239665. The cubic root of 4204023201 is about 1613.9436520730.

Adding to 4204023201 its reverse (1023204024), we get a palindrome (5227227225).

The spelling of 4204023201 in words is "four billion, two hundred four million, twenty-three thousand, two hundred one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 243 399 513 567 1197 1539 1701 3591 4617 10773 32319 130079 390237 910553 1170711 2471501 2731659 3512133 7414503 8194977 10536399 17300507 22243509 24584931 31609197 51901521 66730527 73754793 155704563 200191581 221264379 467113689 600574743 1401341067 4204023201