Search a number
-
+
23340200 = 23521347191
BaseRepresentation
bin101100100001…
…0010010101000
31121220210201212
41121002102220
521433341300
62152132252
7402250142
oct131022250
947823655
1023340200
11121a1924
127997088
134ab2890
143157c92
1520b0935
hex16424a8

23340200 has 96 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 8390400.

The previous prime is 23340199. The next prime is 23340203. The reversal of 23340200 is 204332.

It is not an unprimeable number, because it can be changed into a prime (23340203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122105 + ... + 122295.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 223340200 is an apocalyptic number.

23340200 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 23340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

23340200 is an abundant number, since it is smaller than the sum of its proper divisors (36655960).

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

23340200 is a wasteful number, since it uses less digits than its factorization.

23340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 23340200 is about 4831.1696306381. The cubic root of 23340200 is about 285.7819910975.

Adding to 23340200 its reverse (204332), we get a palindrome (23544532).

The spelling of 23340200 in words is "twenty-three million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 47 50 52 65 94 100 104 130 188 191 200 235 260 325 376 382 470 520 611 650 764 940 955 1175 1222 1300 1528 1880 1910 2350 2444 2483 2600 3055 3820 4700 4775 4888 4966 6110 7640 8977 9400 9550 9932 12220 12415 15275 17954 19100 19864 24440 24830 30550 35908 38200 44885 49660 61100 62075 71816 89770 99320 116701 122200 124150 179540 224425 233402 248300 359080 448850 466804 496600 583505 897700 933608 1167010 1795400 2334020 2917525 4668040 5835050 11670100 23340200