Search a number
-
+
223104630 = 23571079929
BaseRepresentation
bin11010100110001…
…00111001110110
3120112210220000110
431103010321312
5424103322010
634045523450
75346233550
oct1523047166
9515726013
10223104630
11104a338a1
1262873586
13372b6898
14218b84d0
15148c0120
hexd4c4e76

223104630 has 64 divisors (see below), whose sum is σ = 617725440. Its totient is φ = 50513664.

The previous prime is 223104619. The next prime is 223104643. The reversal of 223104630 is 36401322.

It is a happy number.

It is a super-3 number, since 3×2231046303 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223104597 and 223104606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17506 + ... + 27434.

It is an arithmetic number, because the mean of its divisors is an integer number (9651960).

Almost surely, 2223104630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223104630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308862720).

223104630 is an abundant number, since it is smaller than the sum of its proper divisors (394620810).

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

223104630 is a wasteful number, since it uses less digits than its factorization.

223104630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 223104630 is about 14936.6873837541. The cubic root of 223104630 is about 606.5075261175.

Adding to 223104630 its reverse (36401322), we get a palindrome (259505952).

The spelling of 223104630 in words is "two hundred twenty-three million, one hundred four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 4494 7490 9929 11235 19858 22470 29787 49645 59574 69503 99290 139006 148935 208509 297870 347515 417018 695030 1042545 1062403 2085090 2124806 3187209 5312015 6374418 7436821 10624030 14873642 15936045 22310463 31872090 37184105 44620926 74368210 111552315 223104630