Search a number
-
+
4220668548 = 2232274142773
BaseRepresentation
bin1111101110010010…
…0100101010000100
3101220010221011210100
43323210210222010
532120442343143
61534451324100
7206410043055
oct37344445204
911803834710
104220668548
111876503828
129995b0630
13523564515
142c079672c
1519a8136d3
hexfb924a84

4220668548 has 36 divisors (see below), whose sum is σ = 10673054028. Its totient is φ = 1406343360.

The previous prime is 4220668519. The next prime is 4220668577. The reversal of 4220668548 is 8458660224.

4220668548 is a `hidden beast` number, since 42 + 2 + 0 + 6 + 68 + 548 = 666.

It is an interprime number because it is at equal distance from previous prime (4220668519) and next prime (4220668577).

It can be written as a sum of positive squares in 2 ways, for example, as 772395264 + 3448273284 = 27792^2 + 58722^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77290 + ... + 120062.

It is an arithmetic number, because the mean of its divisors is an integer number (296473723).

Almost surely, 24220668548 is an apocalyptic number.

It is an amenable number.

4220668548 is an abundant number, since it is smaller than the sum of its proper divisors (6452385480).

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

4220668548 is a wasteful number, since it uses less digits than its factorization.

4220668548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45524 (or 45519 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4220668548 is about 64966.6725944926. The cubic root of 4220668548 is about 1616.0709218171.

The spelling of 4220668548 in words is "four billion, two hundred twenty million, six hundred sixty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2741 5482 8223 10964 16446 24669 32892 42773 49338 85546 98676 128319 171092 256638 384957 513276 769914 1539828 117240793 234481586 351722379 468963172 703444758 1055167137 1406889516 2110334274 4220668548