Search a number
-
+
223323320 = 235114710799
BaseRepresentation
bin11010100111110…
…10010010111000
3120120020000000002
431103322102320
5424132321240
634054332132
75351134253
oct1523722270
9516200002
10223323320
11105073130
126295a048
133736229c
142193409a
1514914d15
hexd4fa4b8

223323320 has 64 divisors (see below), whose sum is σ = 559872000. Its totient is φ = 79473280.

The previous prime is 223323313. The next prime is 223323343. The reversal of 223323320 is 23323322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223323292 and 223323301.

It is a congruent number.

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, 15281 + ... + 26079.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2223323320 is an apocalyptic number.

223323320 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 223323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279936000).

223323320 is an abundant number, since it is smaller than the sum of its proper divisors (336548680).

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

223323320 is a wasteful number, since it uses less digits than its factorization.

223323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 223323320 is about 14944.0061563156. The cubic root of 223323320 is about 606.7056302042.

Adding to 223323320 its reverse (23323322), we get a palindrome (246646642).

It can be divided in two parts, 22332 and 3320, that added together give a palindrome (25652).

The spelling of 223323320 in words is "two hundred twenty-three million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 10799 20680 21598 43196 53995 86392 107990 118789 215980 237578 431960 475156 507553 593945 950312 1015106 1187890 2030212 2375780 2537765 4060424 4751560 5075530 5583083 10151060 11166166 20302120 22332332 27915415 44664664 55830830 111661660 223323320