Search a number
-
+
223284360 = 233513413491
BaseRepresentation
bin11010100111100…
…00110010001000
3120120011000120010
431103300302020
5424130044420
634053431520
75350612545
oct1523606210
9516130503
10223284360
11105046932
126293b5a0
133734a630
1421923bcc
15149084e0
hexd4f0c88

223284360 has 128 divisors (see below), whose sum is σ = 739186560. Its totient is φ = 53606400.

The previous prime is 223284317. The next prime is 223284361. The reversal of 223284360 is 63482322.

It is a super-3 number, since 3×2232843603 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (223284361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62215 + ... + 65705.

It is an arithmetic number, because the mean of its divisors is an integer number (5774895).

Almost surely, 2223284360 is an apocalyptic number.

223284360 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 223284360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369593280).

223284360 is an abundant number, since it is smaller than the sum of its proper divisors (515902200).

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

223284360 is a wasteful number, since it uses less digits than its factorization.

223284360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 223284360 is about 14942.7025668050. The cubic root of 223284360 is about 606.6703470909.

The spelling of 223284360 in words is "two hundred twenty-three million, two hundred eighty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 3491 4264 4920 5330 6396 6982 7995 10473 10660 12792 13964 15990 17455 20946 21320 27928 31980 34910 41892 45383 52365 63960 69820 83784 90766 104730 136149 139640 143131 181532 209460 226915 272298 286262 363064 418920 429393 453830 544596 572524 680745 715655 858786 907660 1089192 1145048 1361490 1431310 1717572 1815320 1860703 2146965 2722980 2862620 3435144 3721406 4293930 5445960 5582109 5725240 7442812 8587860 9303515 11164218 14885624 17175720 18607030 22328436 27910545 37214060 44656872 55821090 74428120 111642180 223284360