Search a number
-
+
223153350 = 23527297313
BaseRepresentation
bin11010100110100…
…00110011000110
3120112220100211220
431103100303012
5424111401400
634050541210
75346525600
oct1523206306
9515810756
10223153350
11104a67462
1262897806
1337302b04
14218cc170
15148ce7a0
hexd4d0cc6

223153350 has 144 divisors (see below), whose sum is σ = 652489488. Its totient is φ = 50319360.

The previous prime is 223153331. The next prime is 223153361. The reversal of 223153350 is 53351322.

It is a happy number.

It is a super-3 number, since 3×2231533503 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 223153350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 712794 + ... + 713106.

It is an arithmetic number, because the mean of its divisors is an integer number (4531177).

Almost surely, 2223153350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223153350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326244744).

223153350 is an abundant number, since it is smaller than the sum of its proper divisors (429336138).

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

223153350 is a wasteful number, since it uses less digits than its factorization.

223153350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 223153350 is about 14938.3181784296. The cubic root of 223153350 is about 606.5516711688.

The spelling of 223153350 in words is "two hundred twenty-three million, one hundred fifty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 97 98 105 147 150 175 194 210 245 291 294 313 350 485 490 525 582 626 679 735 939 970 1050 1225 1358 1455 1470 1565 1878 2037 2191 2425 2450 2910 3130 3395 3675 4074 4382 4695 4753 4850 6573 6790 7275 7350 7825 9390 9506 10185 10955 13146 14259 14550 15337 15650 16975 20370 21910 23475 23765 28518 30361 30674 32865 33950 46011 46950 47530 50925 54775 60722 65730 71295 76685 91083 92022 101850 109550 118825 142590 151805 153370 164325 182166 212527 230055 237650 303610 328650 356475 383425 425054 455415 460110 637581 712950 759025 766850 910830 1062635 1150275 1275162 1487689 1518050 2125270 2277075 2300550 2975378 3187905 4463067 4554150 5313175 6375810 7438445 8926134 10626350 14876890 15939525 22315335 31879050 37192225 44630670 74384450 111576675 223153350