Search a number
-
+
222328320 = 293528949
BaseRepresentation
bin11010100000001…
…11011000000000
3120111100110010020
431100013120000
5423404001240
634021133440
75336521344
oct1520073000
9514313106
10222328320
11104553615
126255a280
13370a4426
1421755624
15147ba0d0
hexd407600

222328320 has 80 divisors (see below), whose sum is σ = 710780400. Its totient is φ = 59285504.

The previous prime is 222328259. The next prime is 222328331. The reversal of 222328320 is 23823222.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6795 + ... + 22154.

It is an arithmetic number, because the mean of its divisors is an integer number (8884755).

Almost surely, 2222328320 is an apocalyptic number.

222328320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222328320 is an abundant number, since it is smaller than the sum of its proper divisors (488452080).

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

222328320 is an equidigital number, since it uses as much as digits as its factorization.

222328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28975 (or 28959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 222328320 is about 14910.6780529928. The cubic root of 222328320 is about 605.8032451687.

The spelling of 222328320 in words is "two hundred twenty-two million, three hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 28949 57898 86847 115796 144745 173694 231592 289490 347388 434235 463184 578980 694776 868470 926368 1157960 1389552 1736940 1852736 2315920 2779104 3473880 3705472 4631840 5558208 6947760 7410944 9263680 11116416 13895520 14821888 18527360 22232832 27791040 37054720 44465664 55582080 74109440 111164160 222328320