Search a number
-
+
4221165907 = 72434634327
BaseRepresentation
bin1111101110011001…
…1110000101010011
3101220011212110001001
43323212132011103
532121104302112
61534510122431
7206414214100
oct37346360523
911804773031
104221165907
111876813472
129997b0417
135236a9a0a
142c0885aa7
1519a8b0c57
hexfb99e153

4221165907 has 24 divisors (see below), whose sum is σ = 5036545536. Its totient is φ = 3525551568.

The previous prime is 4221165869. The next prime is 4221165967. The reversal of 4221165907 is 7095611224.

It is not a de Polignac number, because 4221165907 - 215 = 4221133139 is a prime.

It is a super-2 number, since 2×42211659072 = 35636483228838265298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4221165967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973378 + ... + 977704.

It is an arithmetic number, because the mean of its divisors is an integer number (209856064).

Almost surely, 24221165907 is an apocalyptic number.

4221165907 is a deficient number, since it is larger than the sum of its proper divisors (815379629).

4221165907 is a wasteful number, since it uses less digits than its factorization.

4221165907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 4221165907 is about 64970.5002828207. The cubic root of 4221165907 is about 1616.1343980049.

The spelling of 4221165907 in words is "four billion, two hundred twenty-one million, one hundred sixty-five thousand, nine hundred seven".

Divisors: 1 7 43 49 301 463 2107 3241 4327 19909 22687 30289 139363 186061 212023 975541 1302427 2003401 9116989 14023807 86146243 98166649 603023701 4221165907