Search a number
-
+
4220424240 = 243537475273
BaseRepresentation
bin1111101110001110…
…1001000000110000
3101220010110202122220
43323203221000300
532120412033430
61534442201040
7206405004564
oct37343510060
911803422586
104220424240
11187635721a
129994b3180
135234aa266
142c07316a4
1519a7b6110
hexfb8e9030

4220424240 has 80 divisors (see below), whose sum is σ = 13436946528. Its totient is φ = 1095026688.

The previous prime is 4220424239. The next prime is 4220424331. The reversal of 4220424240 is 424240224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4220424240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228757 + ... + 246516.

Almost surely, 24220424240 is an apocalyptic number.

4220424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220424240 is an abundant number, since it is smaller than the sum of its proper divisors (9216522288).

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

4220424240 is a wasteful number, since it uses less digits than its factorization.

4220424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475326 (or 475320 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4220424240 is about 64964.7923109125. The cubic root of 4220424240 is about 1616.0397398161.

Adding to 4220424240 its reverse (424240224), we get a palindrome (4644664464).

The spelling of 4220424240 in words is "four billion, two hundred twenty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 475273 950546 1425819 1901092 2376365 2851638 3802184 4752730 5703276 7129095 7604368 9505460 11406552 14258190 17585101 19010920 22813104 28516380 35170202 38021840 52755303 57032760 70340404 87925505 105510606 114065520 140680808 175851010 211021212 263776515 281361616 351702020 422042424 527553030 703404040 844084848 1055106060 1406808080 2110212120 4220424240