Search a number
-
+
2223134320 = 245112526289
BaseRepresentation
bin1000010010000010…
…0101011001110000
312201221012220222011
42010200211121300
514023110244240
61004333252304
7106043221111
oct20440453160
95657186864
102223134320
11a409a07a0
12520634094
132957715c4
14171380208
15d028b6ea
hex84825670

2223134320 has 40 divisors (see below), whose sum is σ = 5638679280. Its totient is φ = 808412160.

The previous prime is 2223134281. The next prime is 2223134327. The reversal of 2223134320 is 234313222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2223134291 and 2223134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223134327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262265 + ... + 1264024.

It is an arithmetic number, because the mean of its divisors is an integer number (140966982).

Almost surely, 22223134320 is an apocalyptic number.

2223134320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223134320 is an abundant number, since it is smaller than the sum of its proper divisors (3415544960).

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

2223134320 is a wasteful number, since it uses less digits than its factorization.

2223134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526313 (or 2526307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2223134320 is about 47150.1253444781. The cubic root of 2223134320 is about 1305.1343930725.

Adding to 2223134320 its reverse (234313222), we get a palindrome (2457447542).

The spelling of 2223134320 in words is "two billion, two hundred twenty-three million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2526289 5052578 10105156 12631445 20210312 25262890 27789179 40420624 50525780 55578358 101051560 111156716 138945895 202103120 222313432 277891790 444626864 555783580 1111567160 2223134320