Search a number
-
+
223033220300 = 2252112961114617
BaseRepresentation
bin1100111110110111010…
…0001101110011001100
3210022200120100111202202
43033231310031303030
512123233001022200
6250243211541032
722053654043532
oct3175564156314
9708616314682
10223033220300
1186651490560
123728545a778
1318055240007
14ab1b17a152
155c056471d5
hex33edd0dccc

223033220300 has 144 divisors (see below), whose sum is σ = 555145405920. Its totient is φ = 77021952000.

The previous prime is 223033220299. The next prime is 223033220381. The reversal of 223033220300 is 3022330322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888592 + ... + 2003208.

It is an arithmetic number, because the mean of its divisors is an integer number (3855176430).

Almost surely, 2223033220300 is an apocalyptic number.

223033220300 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 223033220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277572702960).

223033220300 is an abundant number, since it is smaller than the sum of its proper divisors (332112185620).

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

223033220300 is a wasteful number, since it uses less digits than its factorization.

223033220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114732 (or 114725 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 223033220300 its reverse (3022330322), we get a palindrome (226055550622).

The spelling of 223033220300 in words is "two hundred twenty-three billion, thirty-three million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 61 100 110 116 122 145 220 244 275 290 305 319 550 580 610 638 671 725 1100 1220 1276 1342 1450 1525 1595 1769 2684 2900 3050 3190 3355 3538 6100 6380 6710 7076 7975 8845 13420 15950 16775 17690 19459 31900 33550 35380 38918 44225 67100 77836 88450 97295 114617 176900 194590 229234 389180 458468 486475 573085 972950 1146170 1260787 1945900 2292340 2521574 2865425 3323893 5043148 5730850 6303935 6647786 6991637 11461700 12607870 13295572 13983274 16619465 25215740 27966548 31519675 33238930 34958185 36562823 63039350 66477860 69916370 73125646 76908007 83097325 126078700 139832740 146251292 153816014 166194650 174790925 182814115 202757473 307632028 332389300 349581850 365628230 384540035 405514946 699163700 731256460 769080070 811029892 914070575 1013787365 1538160140 1828141150 1922700175 2027574730 2230332203 3656282300 3845400350 4055149460 4460664406 5068936825 7690800700 8921328812 10137873650 11151661015 20275747300 22303322030 44606644060 55758305075 111516610150 223033220300