Search a number
-
+
4223165040 = 24355217241
BaseRepresentation
bin1111101110111000…
…0110001001110000
3101220022122000100000
43323232012021300
532122112240130
61535021030000
7206440211343
oct37356061160
911808560300
104223165040
111877959446
1299a3b5300
13523c29933
142c0c4645a
1519ab58260
hexfbb86270

4223165040 has 120 divisors (see below), whose sum is σ = 14708152368. Its totient is φ = 1126172160.

The previous prime is 4223165029. The next prime is 4223165053. The reversal of 4223165040 is 405613224.

4223165040 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 1 + 650 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4223164995 and 4223165013.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89181 + ... + 128060.

Almost surely, 24223165040 is an apocalyptic number.

4223165040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223165040 is an abundant number, since it is smaller than the sum of its proper divisors (10484987328).

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

4223165040 is a wasteful number, since it uses less digits than its factorization.

4223165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217269 (or 217251 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4223165040 is about 64985.8833901641. The cubic root of 4223165040 is about 1616.3894900632.

Adding to 4223165040 its reverse (405613224), we get a palindrome (4628778264).

The spelling of 4223165040 in words is "four billion, two hundred twenty-three million, one hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 217241 434482 651723 868964 1086205 1303446 1737928 1955169 2172410 2606892 3258615 3475856 3910338 4344820 5213784 5865507 6517230 7820676 8689640 9775845 10427568 11731014 13034460 15641352 17379280 17596521 19551690 23462028 26068920 29327535 31282704 35193042 39103380 46924056 52137840 52789563 58655070 70386084 78206760 87982605 93848112 105579126 117310140 140772168 156413520 175965210 211158252 234620280 263947815 281544336 351930420 422316504 469240560 527895630 703860840 844633008 1055791260 1407721680 2111582520 4223165040