Search a number
-
+
2284666880 = 21451672
BaseRepresentation
bin1000100000101101…
…0100000000000000
312220020000002202212
42020023110000000
514134333320010
61014412201252
7110421230246
oct21013240000
95806002685
102284666880
11a726a9051
12539169228
132a5436cc2
141795da796
15d5893505
hex882d4000

2284666880 has 90 divisors (see below), whose sum is σ = 5516062314. Its totient is φ = 908394496.

The previous prime is 2284666859. The next prime is 2284666921. The reversal of 2284666880 is 886664822.

It can be written as a sum of positive squares in only one way, i.e., 1827733504 + 456933376 = 42752^2 + 21376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13680557 + ... + 13680723.

Almost surely, 22284666880 is an apocalyptic number.

2284666880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758031157).

2284666880 is an abundant number, since it is smaller than the sum of its proper divisors (3231395434).

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

2284666880 is an frugal number, since it uses more digits than its factorization.

2284666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The square root of 2284666880 is about 47798.1890870355. The cubic root of 2284666880 is about 1317.0662730534.

The spelling of 2284666880 in words is "two billion, two hundred eighty-four million, six hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 256 320 334 512 640 668 835 1024 1280 1336 1670 2048 2560 2672 3340 4096 5120 5344 6680 8192 10240 10688 13360 16384 20480 21376 26720 27889 40960 42752 53440 55778 81920 85504 106880 111556 139445 171008 213760 223112 278890 342016 427520 446224 557780 684032 855040 892448 1115560 1368064 1710080 1784896 2231120 2736128 3420160 3569792 4462240 6840320 7139584 8924480 13680640 14279168 17848960 28558336 35697920 57116672 71395840 114233344 142791680 228466688 285583360 456933376 571166720 1142333440 2284666880