Search a number
-
+
223113100 = 225271718749
BaseRepresentation
bin11010100110001…
…10111110001100
3120112211022122011
431103012332030
5424104104400
634050031004
75346300340
oct1523067614
9515738564
10223113100
11104a3a1a1
1262878464
13372ba6b2
14218bb620
15148c28ba
hexd4c6f8c

223113100 has 72 divisors (see below), whose sum is σ = 585900000. Its totient is φ = 71992320.

The previous prime is 223113091. The next prime is 223113127. The reversal of 223113100 is 1311322.

It is a super-3 number, since 3×2231131003 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526 + ... + 21274.

It is an arithmetic number, because the mean of its divisors is an integer number (8137500).

Almost surely, 2223113100 is an apocalyptic number.

223113100 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 223113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292950000).

223113100 is an abundant number, since it is smaller than the sum of its proper divisors (362786900).

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

223113100 is a wasteful number, since it uses less digits than its factorization.

223113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18787 (or 18780 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 223113100 is about 14936.9709111319. The cubic root of 223113100 is about 606.5152012215.

Adding to 223113100 its reverse (1311322), we get a palindrome (224424422).

The spelling of 223113100 in words is "two hundred twenty-three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 18749 37498 74996 93745 131243 187490 262486 318733 374980 468725 524972 637466 656215 937450 1274932 1312430 1593665 1874900 2231131 2624860 3187330 3281075 4462262 6374660 6562150 7968325 8924524 11155655 13124300 15936650 22311310 31873300 44622620 55778275 111556550 223113100