Search a number
-
+
2185313040 = 243351011719
BaseRepresentation
bin1000001001000001…
…0011101100010000
312122022001101221000
42002100103230100
513433420004130
61000502502000
7105103566021
oct20220235420
95568041830
102185313040
11a21609039
1250ba34900
1328a98b651
1416a336c48
15cbcba260
hex82413b10

2185313040 has 80 divisors (see below), whose sum is σ = 7527196800. Its totient is φ = 582749568.

The previous prime is 2185313033. The next prime is 2185313041. The reversal of 2185313040 is 403135812.

It is a happy number.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 2185312995 and 2185313013.

It is not an unprimeable number, because it can be changed into a prime (2185313041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503700 + ... + 508019.

It is an arithmetic number, because the mean of its divisors is an integer number (94089960).

Almost surely, 22185313040 is an apocalyptic number.

2185313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2185313040 is an abundant number, since it is smaller than the sum of its proper divisors (5341883760).

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

2185313040 is a wasteful number, since it uses less digits than its factorization.

2185313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011741 (or 1011729 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2185313040 is about 46747.3319024733. The cubic root of 2185313040 is about 1297.6907801931.

Adding to 2185313040 its reverse (403135812), we get a palindrome (2588448852).

The spelling of 2185313040 in words is "two billion, one hundred eighty-five million, three hundred thirteen 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 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1011719 2023438 3035157 4046876 5058595 6070314 8093752 9105471 10117190 12140628 15175785 16187504 18210942 20234380 24281256 27316413 30351570 36421884 40468760 45527355 48562512 54632826 60703140 72843768 80937520 91054710 109265652 121406280 136582065 145687536 182109420 218531304 242812560 273164130 364218840 437062608 546328260 728437680 1092656520 2185313040