Search a number
-
+
223513560 = 23335349593
BaseRepresentation
bin11010101001010…
…00101111011000
3120120120122222000
431110220233120
5424204413220
634102401000
75352556014
oct1524505730
9516518860
10223513560
11105193056
1262a30160
13373caa5a
1421983544
1514951390
hexd528bd8

223513560 has 128 divisors (see below), whose sum is σ = 748440000. Its totient is φ = 59332608.

The previous prime is 223513553. The next prime is 223513571. The reversal of 223513560 is 65315322.

223513560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 376624 + ... + 377216.

Almost surely, 2223513560 is an apocalyptic number.

223513560 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 223513560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374220000).

223513560 is an abundant number, since it is smaller than the sum of its proper divisors (524926440).

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

223513560 is a wasteful number, since it uses less digits than its factorization.

223513560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 223513560 is about 14950.3698950896. The cubic root of 223513560 is about 606.8778572110.

Adding to 223513560 its reverse (65315322), we get a palindrome (288828882).

The spelling of 223513560 in words is "two hundred twenty-three million, five hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 349 360 540 593 698 1047 1080 1186 1396 1745 1779 2094 2372 2792 2965 3141 3490 3558 4188 4744 5235 5337 5930 6282 6980 7116 8376 8895 9423 10470 10674 11860 12564 13960 14232 15705 16011 17790 18846 20940 21348 23720 25128 26685 31410 32022 35580 37692 41880 42696 47115 53370 62820 64044 71160 75384 80055 94230 106740 125640 128088 160110 188460 206957 213480 320220 376920 413914 620871 640440 827828 1034785 1241742 1655656 1862613 2069570 2483484 3104355 3725226 4139140 4966968 5587839 6208710 7450452 8278280 9313065 11175678 12417420 14900904 18626130 22351356 24834840 27939195 37252260 44702712 55878390 74504520 111756780 223513560